Celebratio Mathematica

Michael H. Freedman

Works of Mike Freedman

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phdthesis M. H. Freed­man: Codi­men­sion-two sur­gery. Ph.D. thesis, Prin­ceton Uni­versity, 1973. Ad­vised by W. Browder. MR 2623579

article M. Freed­man: “On the clas­si­fic­a­tion of taut sub­man­i­folds,” Bull. Amer. Math. Soc. 81 : 6 (1975), pp. 1067–​1068. MR 0413143 Zbl 0331.​57013

incollection M. H. Freed­man: “Auto­morph­isms of circle bundles over sur­faces,” pp. 212–​214 in Geo­met­ric to­po­logy (Park City, UT, Feb­ru­ary 19–22, 1974). Edi­ted by L. C. Glaser and T. B. Rush­ing. Lec­ture Notes in Math­em­at­ics 438. Spring­er, 1975. MR 0391140 Zbl 0308.​55006

article M. Freed­man: “Unique­ness the­or­ems for taut sub­man­i­folds,” Pa­cific J. Math. 62 : 2 (1976), pp. 379–​387. MR 0407860 Zbl 0357.​57004

article M. H. Freed­man and L. Taylor: “\( \Lambda \)-split­ting 4-man­i­folds,” To­po­logy 16 : 2 (1977), pp. 181–​184. MR 0442954 Zbl 0363.​57004

book M. H. Freed­man: Sur­gery on codi­men­sion-2 sub­man­i­folds, vol. 12. Mem­oirs of the Amer­ic­an Math­em­at­ic­al So­ci­ety 191. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), September 1977. MR 0454990 Zbl 0369.​57012

incollection M. Freed­man and R. Kirby: “A geo­met­ric proof of Roch­lin’s the­or­em,” pp. 85–​97 in Al­geb­ra­ic and geo­met­ric to­po­logy (Stan­ford Uni­versity, CA, Au­gust 2–21, 1976), part 2. Edi­ted by R. J. Mil­gram. Pro­ceed­ings of Sym­po­sia in Pure Math­em­at­ics XXXII. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1978. MR 0520525 Zbl 0392.​57018

incollection M. H. Freed­man: “Re­marks on the solu­tion of first de­gree equa­tions in groups,” pp. 87–​93 in Al­geb­ra­ic and geo­met­ric to­po­logy: Pro­ceed­ings of a sym­posi­um in hon­or of Ray­mond L. Wilder (Santa Bar­bara, CA, Ju­ly 25–29, 1977). Edi­ted by K. C. Mil­lett. Lec­ture Notes in Math­em­at­ics 664. Spring­er (Ber­lin), 1978. MR 0518409 Zbl 0385.​20023

article M. Freed­man and W. H. Meeks, III: “Une ob­struc­tion élé­mentaire à l’ex­ist­ence d’une ac­tion con­tin­ue de groupe dans une var­iété,” C. R. Acad. Sci. Par­is Sér. A 286 : 4 (1978), pp. 195–​198. MR 0515866 Zbl 0373.​57021

article M. H. Freed­man: “Quad­ruple points of 3-man­i­folds in \( S^{4} \),” Com­ment. Math. Helv. 53 : 3 (1978), pp. 385–​394. MR 0505553 Zbl 0404.​57011

article M. H. Freed­man: “A fake \( S^{3}\times \mathbf{R} \),” Ann. of Math. (2) 110 : 1 (1979), pp. 177–​201. MR 0541336 Zbl 0442.​57014

article M. H. Freed­man: “A con­verse to (Mil­nor–Ker­vaire the­or­em)\( \times R \) etc…,” Pa­cific J. Math. 82 : 2 (1979), pp. 357–​369. MR 0551695 Zbl 0459.​57020

article M. H. Freed­man: “Can­cel­ling 1-handles and some to­po­lo­gic­al im­bed­dings,” Pa­cific J. Math. 80 : 1 (1979), pp. 127–​130. MR 0534700 Zbl 0416.​57016

incollection L. Sieben­mann: “Amorces de la chirur­gie en di­men­sion quatre: un \( S^{3}\times \mathbf{R} \) exotique [d’après An­drew J. Cas­son et Mi­chael H. Freed­man],” pp. 183–​207 in Sémin­aire Bourbaki (1978/79). Lec­ture Notes in Math­em­at­ics 770. Spring­er (Ber­lin), 1980. Ex­posé no. 536. MR 572425 Zbl 0444.​57021

article M. H. Freed­man: “Planes triply tan­gent to curves with non­van­ish­ing tor­sion,” To­po­logy 19 : 1 (1980), pp. 1–​8. MR 0559472 Zbl 0438.​53001

article M. Freed­man and F. Quinn: “A quick proof of the 4-di­men­sion­al stable sur­gery the­or­em,” Com­ment. Math. Helv. 55 : 4 (1980), pp. 668–​671. MR 0604722 Zbl 0453.​57024

M. H. Freed­man: [Un­pub­lished hand­writ­ten notes].

article M. Freed­man and F. Quinn: “Slightly sin­gu­lar 4-man­i­folds,” To­po­logy 20 : 2 (1981), pp. 161–​173. MR 0605655 Zbl 0459.​57008

article M. H. Freed­man: “A sur­gery se­quence in di­men­sion four; the re­la­tions with knot con­cord­ance,” In­vent. Math. 68 : 2 (1982), pp. 195–​226. MR 0666159 Zbl 0504.​57016

article M. Freed­man, J. Hass, and P. Scott: “Closed geodesics on sur­faces,” Bull. Lon­don Math. Soc. 14 : 5 (1982), pp. 385–​391. MR 0671777 Zbl 0476.​53026

article M. H. Freed­man: “The to­po­logy of four-di­men­sion­al man­i­folds,” J. Dif­fer­en­tial Geom. 17 : 3 (1982), pp. 357–​453. MR 0679066 Zbl 0528.​57011

incollection M. H. Freed­man: “A con­ser­vat­ive Dehn’s lemma,” pp. 121–​130 in Low di­men­sion­al to­po­logy (San Fran­cisco, CA, Janu­ary 7–11, 1981). Edi­ted by S. J. Lomonaco, Jr. Con­tem­por­ary Math­em­at­ics 20. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1983. MR 0718137 Zbl 0525.​57005

article M. Freed­man, J. Hass, and P. Scott: “Least area in­com­press­ible sur­faces in 3-man­i­folds,” In­vent. Math. 71 : 3 (1983), pp. 609–​642. MR 0695910 Zbl 0482.​53045

article M. Freed­man and S.-T. Yau: “Ho­mo­top­ic­ally trivi­al sym­met­ries of Haken man­i­folds are tor­al,” To­po­logy 22 : 2 (1983), pp. 179–​189. MR 0683759 Zbl 0515.​57004

M. Freed­man and K. Uh­len­beck: Gauge the­or­ies and four-man­i­folds. Technical report 025-83, U.C. Berke­ley, 1983. Notes by D. Freed and K. Uh­len­beck.

incollection M. H. Freed­man: “The disk the­or­em for four-di­men­sion­al man­i­folds,” pp. 647–​663 in Pro­ceed­ings of the In­ter­na­tion­al Con­gress of Math­em­aticians (Au­gust 16–24, 1983, Warsaw), vol. 1. Edi­ted by Z. Ciesiel­ski and C. Olech. PWN (Warsaw), 1984. MR 0804721 Zbl 0577.​57003

article M. H. Freed­man: “There is no room to spare in four-di­men­sion­al space,” No­tices Amer. Math. Soc. 31 : 1 (1984), pp. 3–​6. MR 0728340 Zbl 0538.​57001

incollection A. Cas­son and M. Freed­man: “Atom­ic sur­gery prob­lems,” pp. 181–​199 in Four-man­i­fold the­ory (Durham, NH, Ju­ly 4–10, 1982). Edi­ted by C. Gor­don and R. C. Kirby. Con­tem­por­ary Math­em­at­ics 35. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1984. MR 0780579 Zbl 0559.​57008

article M. H. Freed­man: “A new tech­nique for the link slice prob­lem,” In­vent. Math. 80 : 3 (1985), pp. 453–​465. MR 0791669 Zbl 0569.​57002

article M. H. Freed­man and L. R. Taylor: “A uni­ver­sal smooth­ing of four-space,” J. Dif­fer­en­tial Geom. 24 : 1 (1986), pp. 69–​78. MR 0857376 Zbl 0586.​57007

incollection M. H. Freed­man: “A geo­met­ric re­for­mu­la­tion of 4-di­men­sion­al sur­gery,” pp. 133–​141 in Spe­cial volume in hon­or of R. H. Bing (1914–1986), published as To­po­logy Ap­pl. 24 : 1–​3 (1986). MR 0872483 Zbl 0898.​57005

incollection M. H. Freed­man: “Are the Bor­romean rings \( A \)-\( B \)-slice?,” pp. 143–​145 in Spe­cial volume in hon­or of R. H. Bing (1914–1986), published as To­po­logy Ap­pl. 24 : 1–​3. El­sevi­er Sci­ence B.V. (North-Hol­land) (Am­s­ter­dam), 1986. MR 0872484 Zbl 0627.​57004

articleMi­chael H. Freed­man awar­ded 1986 Veblen Prize,” No­tices Amer. Math. Soc. 33 : 2 (1986), pp. 227–​228. MR 830614

M. H. Freed­man: Jon Loni’s Stoney Point mas­sacre: A story twice re­told, 1986.

misc M. F. Atiyah, B. Mazur, J. W. Mil­nor, and V. Strassen: Ad­dresses on the work of the 1986 Fields Medal­ists and Nevan­linna Prize win­ner, 1987. 60-min. video­cas­sette. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI). Plen­ary ad­dresses presen­ted at the In­ter­na­tion­al Con­gress of Math­em­aticians (Berke­ley, CA, Au­gust 1986). MR 1064525

incollection J. Mil­nor: “The work of M.H. Freed­man,” pp. 13–​15 in Pro­ceed­ings of the In­ter­na­tion­al Con­gress of Math­em­aticians 1986 (Au­gust 3–11, Berke­ley, CA), vol. 2. Edi­ted by A. Gleason. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1987. MR 0934211 Zbl 0659.​01014

article M. H. Freed­man: “A power law for the dis­tor­tion of planar sets,” Dis­crete Com­put. Geom. 2 : 4 (1987), pp. 345–​351. MR 0911188 Zbl 0642.​52006

article M. H. Freed­man and R. Skora: “Strange ac­tions of groups on spheres,” J. Dif­fer­en­tial Geom. 25 : 1 (1987), pp. 75–​98. MR 0873456 Zbl 0588.​57024

article K. Kuga: “The con­tri­bu­tions of Mi­chael H. Freed­man,” Sug­aku 39 : 1 (1987), pp. 8–​16. MR 904866

article M. H. Freed­man: “A note on to­po­logy and mag­net­ic en­ergy in in­com­press­ible per­fectly con­duct­ing flu­ids,” J. Flu­id Mech. 194 (1988), pp. 549–​551. MR 0988303 Zbl 0676.​76095

article M. H. Freed­man and Z.-X. He: “Factor­ing the log­ar­ithmic spir­al,” In­vent. Math. 92 : 1 (1988), pp. 129–​138. MR 0931207 Zbl 0622.​30011

article M. H. Freed­man and Z.-X. He: “A re­mark on in­her­ent dif­fer­en­ti­ab­il­ity,” Proc. Amer. Math. Soc. 104 : 4 (1988), pp. 1305–​1310. MR 0937012 Zbl 0689.​57021

article M. H. Freed­man: “White­head\( {}_3 \) is a ‘slice’ link,” In­vent. Math. 94 : 1 (1988), pp. 175–​182. MR 0958596 Zbl 0678.​57002

incollection M. H. Freed­man and R. Skora: “Strange ac­tions of groups on spheres, II,” pp. 41–​57 in Holo­morph­ic func­tions and mod­uli (MSRI, Berke­ley, CA, March 13–19, 1986), vol. II. Edi­ted by D. Dras­in, C. J. Earle, F. W. Gehring, I. Kra, and A. Marden. Math­em­at­ic­al Sci­ences Re­search In­sti­tute Pub­lic­a­tions 11. Spring­er (New York), 1988. MR 0955832 Zbl 0666.​57028

article M. H. Freed­man: “Poin­caré trans­vers­al­ity and four-di­men­sion­al sur­gery,” To­po­logy 27 : 2 (1988), pp. 171–​175. MR 0948180 Zbl 0654.​57007

M. H. Freed­man: A pro­pos­al on Panama, 1988.

article M. H. Freed­man and X.-S. Lin: “On the \( (A,B) \)-slice prob­lem,” To­po­logy 28 : 1 (1989), pp. 91–​110. MR 0991101 Zbl 0845.​57016

book M. H. Freed­man and F. Luo: Se­lec­ted ap­plic­a­tions of geo­metry to low-di­men­sion­al to­po­logy (The Pennsylvania State Uni­versity, Uni­versity Park, PA, Feb­ru­ary 2–5, 1987), vol. 1. Uni­versity Lec­ture Series 1. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1989. Mark­er Lec­tures in the Math­em­at­ic­al Sci­ences. MR 1043633 Zbl 0691.​57001

book M. H. Freed­man and F. Quinn: To­po­logy of 4-man­i­folds. Prin­ceton Math­em­at­ic­al Series 39. Prin­ceton Uni­versity Press (Prin­ceton, NJ), 1990. MR 1201584 Zbl 0705.​57001

M. H. Freed­man: Night climb­ing, 1990.

article M. H. Freed­man and Z.-X. He: “Links of tori and the en­ergy of in­com­press­ible flows,” To­po­logy 30 : 2 (1991), pp. 283–​287. MR 1098922 Zbl 0731.​57003

article M. H. Freed­man and Z.-X. He: “Di­ver­gence-free fields: En­ergy and asymp­tot­ic cross­ing num­ber,” Ann. of Math. (2) 134 : 1 (1991), pp. 189–​229. MR 1114611 Zbl 0746.​57011

article M. H. Freed­man: “An un­knot­ting res­ult for com­plete min­im­al sur­faces [in] \( \mathbf{R}^ 3 \),” In­vent. Math. 109 : 1 (1992), pp. 41–​46. MR 1168364 Zbl 0773.​53003

incollection M. H. Freed­man and Z.-X. He: “Re­search an­nounce­ment on the ‘en­ergy’ of knots,” pp. 219–​222 in To­po­lo­gic­al as­pects of the dy­nam­ics of flu­ids and plas­mas (Uni­versity of Cali­for­nia at Santa Bar­bara, Au­gust–Decem­ber 1991). Edi­ted by H. K. Mof­fatt, G. M. Zaslavas­ky, P. Comte, and M. Tabor. NATO ASI Series E: Ap­plied Sci­ences 218. Kluwer Aca­dem­ic Pub­lish­ers (Dordrecht), 1992. MR 1232232 Zbl 0788.​53004

article S. De Michel­is and M. H. Freed­man: “Un­count­ably many exot­ic \( \mathbf{R}^ 4 \)’s in stand­ard 4-space,” J. Dif­fer­en­tial Geom. 35 : 1 (1992), pp. 219–​254. MR 1152230 Zbl 0780.​57012

incollection M. H. Freed­man: “Work­ing and play­ing with the 2-disk,” pp. 37–​47 in Math­em­at­ics in­to the twenty-first cen­tury: Pro­ceed­ings of the 1988 Centen­ni­al Sym­posi­um (Provid­ence, RI, Au­gust 8–12, 1988). Edi­ted by F. E. Browder. Amer­ic­an Math­em­at­ic­al So­ci­ety Centen­ni­al Pub­lic­a­tions II. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1992. MR 1184613 Zbl 0924.​57026

incollection M. H. Freed­man and M. A. Ber­ger: “Com­bin­at­or­i­al re­lax­a­tion of mag­net­ic fields,” pp. 91–​96 in Mag­neto­hydro­dynam­ic sta­bil­ity and dy­namos, published as Geo­phys. As­tro­phys. Flu­id Dy­nam. 73 : 1–​4 (1993). MR 1289021

article R. Stong: “Unique­ness of \( \pi_1 \)-neg­li­gible em­bed­dings in 4-man­i­folds: A cor­rec­tion to The­or­em 10.5 of Freed­man and Quinn,” To­po­logy 32 : 4 (1993), pp. 677–​699. MR 1241868

article S. Bryson, M. H. Freed­man, Z.-X. He, and Z. Wang: “Möbi­us in­vari­ance of knot en­ergy,” Bull. Amer. Math. Soc. (N.S.) 28 : 1 (1993), pp. 99–​103. MR 1168514 Zbl 0776.​57003 ArXiv math/​9301212

article M. H. Freed­man: “Link com­pos­i­tions and the to­po­lo­gic­al slice prob­lem,” To­po­logy 32 : 1 (1993), pp. 145–​156. MR 1204412 Zbl 0782.​57010

article M. H. Freed­man and Z. Wang: “\( \mathbf{C}P^ 2 \)-stable the­ory,” Math. Res. Lett. 1 : 1 (1994), pp. 45–​48. MR 1258488 Zbl 0849.​57016

article M. H. Freed­man, Z.-X. He, and Z. Wang: “Möbi­us en­ergy of knots and un­knots,” Ann. of Math. (2) 139 : 1 (1994), pp. 1–​50. MR 1259363 Zbl 0817.​57011

article M. H. Freed­man, V. S. Krushkal, and P. Teich­ner: “Van Kampen’s em­bed­ding ob­struc­tion is in­com­plete for 2-com­plexes in \( \mathbf{R}^ 4 \),” Math. Res. Lett. 1 : 2 (March 1994), pp. 167–​176. MR 1266755 Zbl 0847.​57005

incollection M. H. Freed­man and Z. Wang: “Con­trolled lin­ear al­gebra,” pp. 138–​156 in Pro­spects in to­po­logy: Pro­ceed­ings of a con­fer­ence in hon­or of Wil­li­am Browder (Prin­ceton, NJ, March 1994). Edi­ted by F. Quinn. An­nals of Math­em­at­ics Stud­ies 138. Prin­ceton Uni­versity Press (Prin­ceton, NJ), 1995. MR 1368657 Zbl 0924.​19003

article M. H. Freed­man and F. Luo: “Equivari­ant iso­topy of un­knots to round circles,” To­po­logy Ap­pl. 64 : 1 (1995), pp. 59–​74. MR 1339758 Zbl 0830.​53002

article M. H. Freed­man and P. Teich­ner: “4-man­i­fold to­po­logy I: Subex­po­nen­tial groups,” In­vent. Math. 122 : 3 (1995), pp. 509–​529. MR 1359602 Zbl 0857.​57017

article M. H. Freed­man and P. Teich­ner: “4-Man­i­fold to­po­logy II: Dwyer’s fil­tra­tion and sur­gery ker­nels,” In­vent. Math. 122 : 1 (1995), pp. 531–​557. MR 1359603 Zbl 0857.​57018

article M. H. Freed­man and W. H. Press: “Trun­ca­tion of wave­let matrices: Edge ef­fects and the re­duc­tion of to­po­lo­gic­al con­trol,” Lin­ear Al­gebra Ap­pl. 234 (1996), pp. 1–​19. MR 1368768 Zbl 0843.​65100

article C. L. Curtis, M. H. Freed­man, W. C. Hsiang, and R. Stong: “A de­com­pos­i­tion the­or­em for \( h \)-cobord­ant smooth simply-con­nec­ted com­pact 4-man­i­folds,” In­vent. Math. 123 : 2 (1996), pp. 343–​348. MR 1374205 Zbl 0843.​57020

incollection J. Mil­nor: “The work of M. H. Freed­man,” pp. 405–​408 in Fields Medal­lists’ lec­tures. Edi­ted by M. Atiyah and D. Iag­ol­nitzer. World Sci­entif­ic Series in 20th Cen­tury Math­em­at­ics 5. World Sci­entif­ic (River Edge, NJ), 1997. MR 1622913

M. H. Freed­man and V. S. Krushkal: “Notes on ends of hy­per­bol­ic 3-man­i­folds” in Thir­teenth an­nu­al work­shop in geo­met­ric to­po­logy (Col­or­ado Springs, CO, June 13–15, 1996). The Col­or­ado Col­lege, 1997. In­form­al pub­lic­a­tion of The Col­or­ado Col­lege, 1997.

article M. H. Freed­man: “Per­col­a­tion on the pro­ject­ive plane,” Math. Res. Lett. 4 : 6 (1997), pp. 889–​894. MR 1492127 Zbl 0902.​60085

incollection M. Freed­man, R. Hain, and P. Teich­ner: “Betti num­ber es­tim­ates for nil­po­tent groups,” pp. 413–​434 in Fields Medal­lists’ lec­tures. Edi­ted by M. Atiyah and D. Iag­ol­nitzer. World Sci­entif­ic Series in 20th Cen­tury Math­em­at­ics 5. World Sci­entif­ic (River Edge, NJ), 1997. MR 1622914

article B. Freed­man and M. H. Freed­man: “Kneser–Haken fi­nite­ness for bounded 3-man­i­folds loc­ally free groups, and cyc­lic cov­ers,” To­po­logy 37 : 1 (1998), pp. 133–​147. MR 1480882 Zbl 0896.​57012

article M. H. Freed­man: “Lim­it, lo­gic, and com­pu­ta­tion,” Proc. Natl. Acad. Sci. USA 95 : 1 (1998), pp. 95–​97. MR 1612421 Zbl 0891.​68041

article M. H. Freed­man: “P/NP, and the quantum field com­puter,” Proc. Natl. Acad. Sci. USA 95 : 1 (1998), pp. 98–​101. MR 1612425 Zbl 0895.​68053

article M. H. Freed­man and C. T. McMul­len: “Eld­er sib­lings and the tam­ing of hy­per­bol­ic 3-man­i­folds,” Ann. Acad. Sci. Fenn. Math. 23 : 2 (1998), pp. 415–​428. MR 1642126 Zbl 0918.​57004

incollection M. H. Freed­man: “To­po­lo­gic­al views on com­pu­ta­tion­al com­plex­ity,” pp. 453–​464 in Pro­ceed­ings of the In­ter­na­tion­al Con­gress of Math­em­aticians (Ber­lin, 1998), published as Doc. Math. Ex­tra II. Fak­ultät für Math­em­atik, Uni­versität Biele­feld (Biele­feld), 1998. MR 1648095 Zbl 0967.​68520

incollection M. H. Freed­man: “\( K \)-sat on groups and un­de­cid­ab­il­ity,” pp. 572–​576 in Pro­ceed­ings of the thir­ti­eth an­nu­al ACM sym­posi­um on the­ory of com­put­ing (Dal­las, TX, May 23–26, 1998). Edi­ted by Association for Computing Machinery. As­so­ci­ation for Com­put­ing Ma­chinery (New York), 1998. MR 1715605 Zbl 1028.​68068

incollection M. H. Freed­man: “Zel­dovich’s neut­ron star and the pre­dic­tion of mag­net­ic froth,” pp. 165–​172 in The Arnold­fest: Pro­ceed­ings of a con­fer­ence in hon­our of V. I. Arnold for his six­tieth birth­day (Toronto, ON, June 15–21, 1997). Edi­ted by E. Bier­stone, B. Khes­in, A. Khovanskii, and J. E. Marsden. Fields In­sti­tute Com­mu­nic­a­tions 24. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1999. MR 1733574 Zbl 0973.​76097

incollection M. H. Freed­man: “\( Z_2 \)-systol­ic-free­dom,” pp. 113–​123 in Pro­ceed­ings of the Kirby­fest (MSRI, Berke­ley, CA, June 22–26, 1998). Edi­ted by J. Hass and M. Schar­le­mann. Geo­metry & To­po­logy Mono­graphs 2. Math­em­at­ic­al Sci­ences Pub­lish­ers, 1999. MR 1734404 Zbl 1024.​53029 ArXiv math/​0002124

article M. Freed­man, H. Howards, and Y.-Q. Wu: “Ex­ten­sion of in­com­press­ible sur­faces on the bound­ar­ies of 3-man­i­folds,” Pa­cific J. Math. 194 : 2 (2000), pp. 335–​348. MR 1760785 Zbl 1015.​57010 ArXiv math/​9706222

article M. H. Freed­man and D. A. Mey­er: “Pro­ject­ive plane and planar quantum codes,” Found. Com­put. Math. 1 : 3 (2001), pp. 325–​332. MR 1838758 Zbl 0995.​94037 ArXiv quant-​ph/​9810055

article M. H. Freed­man: “Quantum com­pu­ta­tion and the loc­al­iz­a­tion of mod­u­lar func­tors,” Found. Com­put. Math. 1 : 2 (2001), pp. 183–​204. MR 1830035 Zbl 1004.​57026 ArXiv quant-​ph/​0003128

article M. H. Freed­man, M. J. Larsen, and Z. Wang: “The two-ei­gen­value prob­lem and dens­ity of Jones rep­res­ent­a­tion of braid groups,” Comm. Math. Phys. 228 : 1 (2002), pp. 177–​199. MR 1911253 Zbl 1045.​20027

article M. H. Freed­man, M. Larsen, and Z. Wang: “A mod­u­lar func­tor which is uni­ver­sal for quantum com­pu­ta­tion,” Comm. Math. Phys. 227 : 3 (2002), pp. 605–​622. MR 1910833 Zbl 1012.​81007 ArXiv quant-​ph/​0001108

article M. H. Freed­man, A. Kit­aev, and Z. Wang: “Sim­u­la­tion of to­po­lo­gic­al field the­or­ies by quantum com­puters,” Comm. Math. Phys. 227 : 3 (2002), pp. 587–​603. MR 1910832 Zbl 1014.​81006 ArXiv quant-​ph/​0001071

article M. H. Freed­man: “Poly-loc­al­ity in quantum com­put­ing,” Found. Com­put. Math. 2 : 2 (2002), pp. 145–​154. MR 1894373 Zbl 1075.​81507 ArXiv quant-​ph/​0001077

article M. H. Freed­man, K. Walk­er, and Z. Wang: “Quantum \( \mathit{SU}(2) \) faith­fully de­tects map­ping class groups mod­ulo cen­ter,” Geom. To­pol. 6 (2002), pp. 523–​539. MR 1943758 Zbl 1037.​57024 ArXiv math.​GT/​0209150

incollection M. H. Freed­man, D. A. Mey­er, and F. Luo: “\( Z_2 \)-systol­ic free­dom and quantum codes,” pp. 287–​320 in Math­em­at­ics of quantum com­pu­ta­tion. Edi­ted by R. K. Bryl­in­ski and G. Chen. Com­pu­ta­tion­al Math­em­at­ics 3. Chap­man & Hall/CRC (Boca Raton, FL), 2002. MR 2007952 Zbl 1075.​81508

article M. H. Freed­man: “A mag­net­ic mod­el with a pos­sible Chern–Si­mons phase,” Comm. Math. Phys. 234 : 1 (2003), pp. 129–​183. With an ap­pendix by F. Good­man and H. Wen­zl. MR 1961959 Zbl 1060.​81054 ArXiv quant-​ph/​0110060

article M. H. Freed­man, A. Kit­aev, M. J. Larsen, and Z. Wang: “To­po­lo­gic­al quantum com­pu­ta­tion,” Bull. Amer. Math. Soc. (N.S.) 40 : 1 (2003), pp. 31–​38. MR 1943131 Zbl 1019.​81008 ArXiv quant-​ph/​0101025

techreport M. H. Freed­man, C. Nayak, and K. Shten­gel: Non-Abeli­an to­po­lo­gic­al phases in an ex­ten­ded Hub­bard mod­el. Pre­print, September 2003. ArXiv cond-​mat/​0309120

article M. H. Freed­man, A. Kit­aev, and J. Lurie: “Dia­met­ers of ho­mo­gen­eous spaces,” Math. Res. Lett. 10 : 1 (2003), pp. 11–​20. MR 1960119 Zbl 1029.​22031 ArXiv quant-​ph/​0209113

article M. Freed­man, C. Nayak, K. Shten­gel, K. Walk­er, and Z. Wang: “A class of \( P,T \)-in­vari­ant to­po­lo­gic­al phases of in­ter­act­ing elec­trons,” Ann. Phys­ics 310 : 2 (2004), pp. 428–​492. MR 2044743 Zbl 1057.​81053

article M. H. Freed­man, A. Kit­aev, C. Nayak, J. K. Slinger­land, K. Walk­er, and Z. Wang: “Uni­ver­sal man­i­fold pair­ings and pos­it­iv­ity,” Geom. To­pol. 9 (2005), pp. 2303–​2317. MR 2209373 Zbl 1129.​57035 ArXiv math/​0503054

article M. Bor­dewich, M. Freed­man, L. Lovász, and D. Welsh: “Ap­prox­im­ate count­ing and quantum com­pu­ta­tion,” Com­bin. Probab. Com­put. 14 : 5–​6 (2005), pp. 737–​754. MR 2174653 Zbl 1089.​68040

M. H. Freed­man, C. Nayak, and K. Shten­gel: “Line of crit­ic­al points in \( 2+1 \) di­men­sions: Quantum crit­ic­al loop gases and non-abeli­an gauge the­ory,” Phys. Rev. Lett. 94 : 14 (2005), pp. 147205.

article D. Das Sarma, M. H. Freed­man, and C. Nayak: “To­po­lo­gic­ally-pro­tec­ted qubits from a pos­sible non-abeli­an frac­tion­al quantum Hall state,” Phys. Rev. Lett. 94 : 6 (2005), pp. 166802. ArXiv cond-​mat/​0412343

M. Freed­man, C. Nayak, and K. Shten­gel: “An ex­ten­ded Hub­bard mod­el with ring ex­change: A route to a non-abeli­an to­po­lo­gic­al phase,” Phys. Rev. Lett. 94 : 6 (2005), pp. 066401.

techreport M. Freed­man, C. Nayak, and K. Walk­er: Tilted in­ter­fer­o­metry real­izes uni­ver­sal quantum com­pu­ta­tion in the Ising TQFT without over­passes. Pre­print, December 2005. ArXiv cond-​mat/​0512072

article M. Freed­man and V. Krushkal: “On the asymp­tot­ics of quantum \( \mathit{SU}(2) \) rep­res­ent­a­tions of map­ping class groups,” For­um Math. 18 : 2 (2006), pp. 293–​304. MR 2218422 Zbl 1120.​57014

M. Freed­man, C. Nayak, and K. Walk­er: “To­wards uni­ver­sal to­po­lo­gic­al quantum com­pu­ta­tion in the \( \nu=5/2 \) frac­tion­al quantum Hall state,” Phys. Rev. B 73 : 24 (2006), pp. 245307.

M. Freed­man, S. Das Sarma, and C. Nayak: “To­po­lo­gic­al quantum com­pu­ta­tion,” Phys­ics Today 59 : 7 (July 2006), pp. 32–​38.

article D. Calegari and M. H. Freed­man: “Dis­tor­tion in trans­form­a­tion groups,” Geom. To­pol. 10 (2006), pp. 267–​293. With an ap­pendix by Yves de Cornuli­er. MR 2207794 Zbl 1106.​37017 ArXiv math/​0509701

article S. H. Si­mon, N. E. Bonesteel, M. H. Freed­man, N. Pet­ro­vic, and L. Hor­mozi: “To­po­lo­gic­al quantum com­put­ing with only one mo­bile qua­si­particle,” Phys. Rev. Lett. 96 : 7 (2006), pp. 070503. MR 2205654 ArXiv quant-​ph/​0509175

article M. Freed­man, L. Lovász, and A. Schrijver: “Re­flec­tion pos­it­iv­ity, rank con­nectiv­ity, and ho­mo­morph­ism of graphs,” J. Amer. Math. Soc. 20 : 1 (2007), pp. 37–​51. MR 2257396 Zbl 1107.​05089 ArXiv math/​0404468

article M. Freed­man, A. Feiguin, S. Trebst, A. Lud­wig, M. Troy­er, A. Kit­aev, and Z. Wang: “In­ter­act­ing any­ons in to­po­lo­gic­al quantum li­quids: The golden chain,” Phys. Rev. Lett. 98 (2007), pp. 160409. ArXiv cond-​mat/​0612341

article M. H. Freed­man and Z. Wang: “Large quantum Four­i­er trans­forms are nev­er ex­actly real­ized by braid­ing con­form­al blocks,” Phys. Rev. A (3) 75 : 3 (2007), pp. 032322. MR 2312110 ArXiv cond-​mat/​0609411

article M. H. Freed­man and D. Gabai: “Cov­er­ing a nontam­ing knot by the un­link,” Al­gebr. Geom. To­pol. 7 (2007), pp. 1561–​1578. MR 2366171 Zbl 1158.​57024

article P. Bon­der­son, M. Freed­man, and C. Nayak: “Meas­ure­ment-only to­po­lo­gic­al quantum com­pu­ta­tion,” Phys. Rev. Lett. 101 : 1 (2008), pp. 010501. MR 2429542 Zbl 1228.​81121 ArXiv 0802.​0279

article C. Nayak, S. H. Si­mon, A. Stern, M. Freed­man, and S. Das Sarma: “Non-abeli­an any­ons and to­po­lo­gic­al quantum com­pu­ta­tion,” Rev. Mod­ern Phys. 80 : 3 (2008), pp. 1083–​1159. MR 2443722 Zbl 1205.​81062 ArXiv 0707.​1889

incollection M. Freed­man: “Freed­man’s writ­ings on Lin,” pp. 430–​431 in To­po­logy and phys­ics (Tianjin, China, 27–31 Ju­ly 2007). Edi­ted by K. Lin, Z. Weng, and W. Zhang. Nankai Tracts in Math­em­at­ics 12. World Sci­entif­ic (Hack­en­sack, NJ), 2008. Sev­er­al let­ters writ­ten by Freed­man to Lin. MR 2489601

M. Freed­man, C. Nayak, and K. Shten­gel: “Lieb–Schultz–Mat­tis the­or­em for qua­s­ito­po­lo­gic­al sys­tems,” Phys. Rev. B 78 (2008), pp. 174411.

incollection M. Freed­man, C. Nayak, K. Walk­er, and Z. Wang: “On pic­ture \( (2+1) \)-TQFTs,” pp. 19–​106 in To­po­logy and phys­ics (Tianjin, China, 27–31 Ju­ly 2007). Edi­ted by K. Lin, Z. Weng, and W. Zhang. Nankai Tracts in Math­em­at­ics 12. World Sci­entif­ic (Hack­en­sack, NJ), 2008. MR 2503392 Zbl 1168.​81024 ArXiv 0806.​1926

techreport M. H. Freed­man: A to­po­lo­gic­al phase in a quantum grav­ity mod­el. Pre­print, December 2008. A talk at Solvay con­fer­ence, Oc­to­ber 2008. ArXiv 0812.​2278

article P. Bon­der­son, M. Freed­man, and C. Nayak: “Meas­ure­ment-only to­po­lo­gic­al quantum com­pu­ta­tion via any­on­ic in­ter­fer­o­metry,” Ann. Phys­ics 324 : 4 (2009), pp. 787–​826. MR 2508474 Zbl 1171.​81004 ArXiv 0808.​1933

article M. H. Freed­man: “Com­plex­ity classes as math­em­at­ic­al ax­ioms,” Ann. of Math. (2) 170 : 2 (2009), pp. 995–​1002. MR 2552117 Zbl 1178.​03069 ArXiv 0810.​0033

article L. Fidkowski, M. Freed­man, C. Nayak, K. Walk­er, and Z. Wang: “From string nets to nona­beli­ons,” Comm. Math. Phys. 287 : 3 (2009), pp. 805–​827. MR 2486662 Zbl 1196.​82072 ArXiv cond-​mat/​0610583

techreport P. Bon­der­son, S. Das Sarma, M. Freed­man, and C. Nayak: A blue­print for a to­po­lo­gic­ally fault-tol­er­ant quantum com­puter. Pre­print, March 2010. ArXiv 1003.​2856

techreport M. Freed­man: Quantum grav­ity via man­i­fold pos­it­iv­ity. Pre­print, August 2010. ArXiv 1008.​1045

article M. Freed­man and V. Krushkal: “To­po­lo­gic­al ar­bit­ers,” J. To­pol. 5 : 1 (February 2010), pp. 226–​247. ArXiv 1002.​1063

article D. Calegari, M. H. Freed­man, and K. Walk­er: “Pos­it­iv­ity of the uni­ver­sal pair­ing in 3 di­men­sions,” J. Amer. Math. Soc. 23 : 1 (2010), pp. 107–​188. MR 2552250 Zbl 1201.​57024 ArXiv 0802.​3208

article M. Freed­man, R. Gom­pf, S. Mor­ris­on, and K. Walk­er: “Man and ma­chine think­ing about the smooth 4-di­men­sion­al Poin­caré con­jec­ture,” Quantum To­pol. 1 : 2 (2010), pp. 171–​208. MR 2657647 Zbl 1236.​57043

article M. H. Freed­man: “Group width,” Math. Res. Lett. 18 : 3 (2011), pp. 433–​436. MR 2802577 ArXiv 1011.​2460

article M. H. Freed­man, L. Gamper, C. Gils, S. V. Isakov, S. Trebst, and M. Troy­er: “To­po­lo­gic­al phases: An ex­ped­i­tion off lat­tice,” Ann. Phys­ics 326 : 8 (2011), pp. 2108–​2137. MR 2812881 Zbl 1221.​81219 ArXiv 1102.​0270

techreport S. J. Yamamoto, M. Freed­man, and K. Yang: 3D non-abeli­an any­ons: De­gen­er­acy split­ting and de­tec­tion by adia­bat­ic cool­ing. Pre­print, February 2011. ArXiv 1102.​5742

article M. Freed­man, M. B. Hast­ings, C. Nayak, X.-L. Qi, K. Walk­er, and Z. Wang: “Pro­ject­ive rib­bon per­muta­tion stat­ist­ics: A rem­nant of non-Abeli­an braid­ing in high­er di­men­sions,” Phys. Rev. B 83 : 11 (2011), pp. 115132. ArXiv 1005.​0583