### Works of ~~Mike Freedman~~

[1] phdthesis : Codimension-two surgery. Ph.D. thesis, Princeton University, 1973. Advised by W. Browder. MR 2623579

[2] article : “On the classification of taut submanifolds,” Bull. Amer. Math. Soc. 81 : 6 (1975), pp. 1067–1068. MR 0413143 Zbl 0331.57013

[3] incollection : “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

[4] article : “Uniqueness theorems for taut submanifolds,” Pacific J. Math. 62 : 2 (1976), pp. 379–387. MR 0407860 Zbl 0357.57004

[5]
article
:
“__\( \Lambda \)__-splitting 4-manifolds,”
Topology
16 : 2
(1977),
pp. 181–184.
MR
0442954
Zbl
0363.57004

[6] book : 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

[7] incollection : “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

[8] incollection : “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

[9] article : “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

[10]
article
:
“Quadruple points of 3-manifolds in __\( S^{4} \)__,”
Comment. Math. Helv.
53 : 3
(1978),
pp. 385–394.
MR
0505553
Zbl
0404.57011

[11]
article
:
“A fake __\( S^{3}\times \mathbf{R} \)__,”
Ann. of Math. (2)
110 : 1
(1979),
pp. 177–201.
MR
0541336
Zbl
0442.57014

[12]
article
:
“A converse to (Milnor–Kervaire theorem)__\( \times R \)__ etc…,”
Pacific J. Math.
82 : 2
(1979),
pp. 357–369.
MR
0551695
Zbl
0459.57020

[13] article : “Cancelling 1-handles and some topological imbeddings,” Pacific J. Math. 80 : 1 (1979), pp. 127–130. MR 0534700 Zbl 0416.57016

[14]
incollection
:
“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

[15] article : “Planes triply tangent to curves with nonvanishing torsion,” Topology 19 : 1 (1980), pp. 1–8. MR 0559472 Zbl 0438.53001

[16] article : “A quick proof of the 4-dimensional stable surgery theorem,” Comment. Math. Helv. 55 : 4 (1980), pp. 668–671. MR 0604722 Zbl 0453.57024

[17] : [Unpublished handwritten notes].

[18] article : “Slightly singular 4-manifolds,” Topology 20 : 2 (1981), pp. 161–173. MR 0605655 Zbl 0459.57008

[19] article : “A surgery sequence in dimension four; the relations with knot concordance,” Invent. Math. 68 : 2 (1982), pp. 195–226. MR 0666159 Zbl 0504.57016

[20] article : “Closed geodesics on surfaces,” Bull. London Math. Soc. 14 : 5 (1982), pp. 385–391. MR 0671777 Zbl 0476.53026

[21] article : “The topology of four-dimensional manifolds,” J. Differential Geom. 17 : 3 (1982), pp. 357–453. MR 0679066 Zbl 0528.57011

[22] incollection : “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

[23] article : “Least area incompressible surfaces in 3-manifolds,” Invent. Math. 71 : 3 (1983), pp. 609–642. MR 0695910 Zbl 0482.53045

[24] article : “Homotopically trivial symmetries of Haken manifolds are toral,” Topology 22 : 2 (1983), pp. 179–189. MR 0683759 Zbl 0515.57004

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

[26] incollection : “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

[27] article : “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

[28] incollection : “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

[29] article : “A new technique for the link slice problem,” Invent. Math. 80 : 3 (1985), pp. 453–465. MR 0791669 Zbl 0569.57002

[30] article : “A universal smoothing of four-space,” J. Differential Geom. 24 : 1 (1986), pp. 69–78. MR 0857376 Zbl 0586.57007

[31] incollection : “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

[32]
incollection
:
“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

[33] article “Michael H. Freedman awarded 1986 Veblen Prize,” Notices Amer. Math. Soc. 33 : 2 (1986), pp. 227–228. MR 830614

[34] : Jon Loni’s Stoney Point massacre: A story twice retold, 1986.

[35] misc : 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

[36] incollection : “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

[37] article : “A power law for the distortion of planar sets,” Discrete Comput. Geom. 2 : 4 (1987), pp. 345–351. MR 0911188 Zbl 0642.52006

[38] article : “Strange actions of groups on spheres,” J. Differential Geom. 25 : 1 (1987), pp. 75–98. MR 0873456 Zbl 0588.57024

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

[40] article : “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

[41] article : “Factoring the logarithmic spiral,” Invent. Math. 92 : 1 (1988), pp. 129–138. MR 0931207 Zbl 0622.30011

[42] article : “A remark on inherent differentiability,” Proc. Amer. Math. Soc. 104 : 4 (1988), pp. 1305–1310. MR 0937012 Zbl 0689.57021

[43]
article
:
“Whitehead__\( {}_3 \)__ is a ‘slice’ link,”
Invent. Math.
94 : 1
(1988),
pp. 175–182.
MR
0958596
Zbl
0678.57002

[44] incollection : “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

[45] article : “Poincaré transversality and four-dimensional surgery,” Topology 27 : 2 (1988), pp. 171–175. MR 0948180 Zbl 0654.57007

[46] : A proposal on Panama, 1988.

[47]
article
:
“On the __\( (A,B) \)__-slice problem,”
Topology
28 : 1
(1989),
pp. 91–110.
MR
0991101
Zbl
0845.57016

[48] book : 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

[49] book : Topology of 4-manifolds. Princeton Mathematical Series 39. Princeton University Press (Princeton, NJ), 1990. MR 1201584 Zbl 0705.57001

[50] : Night climbing, 1990.

[51] article : “Links of tori and the energy of incompressible flows,” Topology 30 : 2 (1991), pp. 283–287. MR 1098922 Zbl 0731.57003

[52] article : “Divergence-free fields: Energy and asymptotic crossing number,” Ann. of Math. (2) 134 : 1 (1991), pp. 189–229. MR 1114611 Zbl 0746.57011

[53]
article
:
“An unknotting result for complete minimal surfaces [in] __\( \mathbf{R}^ 3 \)__,”
Invent. Math.
109 : 1
(1992),
pp. 41–46.
MR
1168364
Zbl
0773.53003

[54] incollection : “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

[55]
article
:
“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

[56] incollection : “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

[57] incollection : “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

[58]
article
:
“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

[59] article : “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

[60] article : “Link compositions and the topological slice problem,” Topology 32 : 1 (1993), pp. 145–156. MR 1204412 Zbl 0782.57010

[61]
article
:
“__\( \mathbf{C}P^ 2 \)__-stable theory,”
Math. Res. Lett.
1 : 1
(1994),
pp. 45–48.
MR
1258488
Zbl
0849.57016

[62] article : “Möbius energy of knots and unknots,” Ann. of Math. (2) 139 : 1 (1994), pp. 1–50. MR 1259363 Zbl 0817.57011

[63]
article
:
“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

[64] incollection : “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

[65] article : “Equivariant isotopy of unknots to round circles,” Topology Appl. 64 : 1 (1995), pp. 59–74. MR 1339758 Zbl 0830.53002

[66] article : “4-manifold topology I: Subexponential groups,” Invent. Math. 122 : 3 (1995), pp. 509–529. MR 1359602 Zbl 0857.57017

[67] article : “4-Manifold topology II: Dwyer’s filtration and surgery kernels,” Invent. Math. 122 : 1 (1995), pp. 531–557. MR 1359603 Zbl 0857.57018

[68] article : “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

[69]
article
:
“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

[70] incollection : “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

[71] : “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.

[72] article : “Percolation on the projective plane,” Math. Res. Lett. 4 : 6 (1997), pp. 889–894. MR 1492127 Zbl 0902.60085

[73] incollection : “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

[74] article : “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

[75] article : “Limit, logic, and computation,” Proc. Natl. Acad. Sci. USA 95 : 1 (1998), pp. 95–97. MR 1612421 Zbl 0891.68041

[76] article : “P/NP, and the quantum field computer,” Proc. Natl. Acad. Sci. USA 95 : 1 (1998), pp. 98–101. MR 1612425 Zbl 0895.68053

[77] article : “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

[78] incollection : “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

[79]
incollection
:
“__\( K \)__-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

[80] incollection : “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

[81]
incollection
:
“__\( Z_2 \)__-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

[82] article : “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

[83] article : “Projective plane and planar quantum codes,” Found. Comput. Math. 1 : 3 (2001), pp. 325–332. MR 1838758 Zbl 0995.94037 ArXiv quant-ph/9810055

[84] article : “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

[85] article : “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

[86] article : “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

[87] article : “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

[88] article : “Poly-locality in quantum computing,” Found. Comput. Math. 2 : 2 (2002), pp. 145–154. MR 1894373 Zbl 1075.81507 ArXiv quant-ph/0001077

[89]
article
:
“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

[90]
incollection
:
“__\( Z_2 \)__-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

[91] article : “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

[92] article : “Topological quantum computation,” Bull. Amer. Math. Soc. (N.S.) 40 : 1 (2003), pp. 31–38. MR 1943131 Zbl 1019.81008 ArXiv quant-ph/0101025

[93] techreport : Non-Abelian topological phases in an extended Hubbard model. Preprint, September 2003. ArXiv cond-mat/0309120

[94] article : “Diameters of homogeneous spaces,” Math. Res. Lett. 10 : 1 (2003), pp. 11–20. MR 1960119 Zbl 1029.22031 ArXiv quant-ph/0209113

[95]
article
:
“A class of __\( P,T \)__-invariant topological phases of interacting electrons,”
Ann. Physics
310 : 2
(2004),
pp. 428–492.
MR
2044743
Zbl
1057.81053

[96] article : “Universal manifold pairings and positivity,” Geom. Topol. 9 (2005), pp. 2303–2317. MR 2209373 Zbl 1129.57035 ArXiv math/0503054

[97] article : “Approximate counting and quantum computation,” Combin. Probab. Comput. 14 : 5–6 (2005), pp. 737–754. MR 2174653 Zbl 1089.68040

[98] : “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.

[99] article : “Topologically-protected qubits from a possible non-abelian fractional quantum Hall state,” Phys. Rev. Lett. 94 : 6 (2005), pp. 166802. ArXiv cond-mat/0412343

[100] : “An extended Hubbard model with ring exchange: A route to a non-abelian topological phase,” Phys. Rev. Lett. 94 : 6 (2005), pp. 066401.

[101] techreport : Tilted interferometry realizes universal quantum computation in the Ising TQFT without overpasses. Preprint, December 2005. ArXiv cond-mat/0512072

[102]
article
:
“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

[103] : “Towards universal topological quantum computation in the \( \nu=5/2 \) fractional quantum Hall state,” Phys. Rev. B 73 : 24 (2006), pp. 245307.

[104] : “Topological quantum computation,” Physics Today 59 : 7 (July 2006), pp. 32–38.

[105] article : “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

[106] article : “Topological quantum computing with only one mobile quasiparticle,” Phys. Rev. Lett. 96 : 7 (2006), pp. 070503. MR 2205654 ArXiv quant-ph/0509175

[107] article : “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

[108] article : “Interacting anyons in topological quantum liquids: The golden chain,” Phys. Rev. Lett. 98 (2007), pp. 160409. ArXiv cond-mat/0612341

[109] article : “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

[110] article : “Covering a nontaming knot by the unlink,” Algebr. Geom. Topol. 7 (2007), pp. 1561–1578. MR 2366171 Zbl 1158.57024

[111] article : “Measurement-only topological quantum computation,” Phys. Rev. Lett. 101 : 1 (2008), pp. 010501. MR 2429542 Zbl 1228.81121 ArXiv 0802.0279

[112] article : “Non-abelian anyons and topological quantum computation,” Rev. Modern Phys. 80 : 3 (2008), pp. 1083–1159. MR 2443722 Zbl 1205.81062 ArXiv 0707.1889

[113] incollection : “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

[114] : “Lieb–Schultz–Mattis theorem for quasitopological systems,” Phys. Rev. B 78 (2008), pp. 174411.

[115]
incollection
:
“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

[116] techreport : A topological phase in a quantum gravity model. Preprint, December 2008. A talk at Solvay conference, October 2008. ArXiv 0812.2278

[117] article : “Measurement-only topological quantum computation via anyonic interferometry,” Ann. Physics 324 : 4 (2009), pp. 787–826. MR 2508474 Zbl 1171.81004 ArXiv 0808.1933

[118] article : “Complexity classes as mathematical axioms,” Ann. of Math. (2) 170 : 2 (2009), pp. 995–1002. MR 2552117 Zbl 1178.03069 ArXiv 0810.0033

[119] article : “From string nets to nonabelions,” Comm. Math. Phys. 287 : 3 (2009), pp. 805–827. MR 2486662 Zbl 1196.82072 ArXiv cond-mat/0610583

[120] techreport : A blueprint for a topologically fault-tolerant quantum computer. Preprint, March 2010. ArXiv 1003.2856

[121] techreport : Quantum gravity via manifold positivity. Preprint, August 2010. ArXiv 1008.1045

[122] article : “Topological arbiters,” J. Topol. 5 : 1 (February 2010), pp. 226–247. ArXiv 1002.1063

[123] article : “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

[124] article : “Man and machine thinking about the smooth 4-dimensional Poincaré conjecture,” Quantum Topol. 1 : 2 (2010), pp. 171–208. MR 2657647 Zbl 1236.57043

[125] article : “Group width,” Math. Res. Lett. 18 : 3 (2011), pp. 433–436. MR 2802577 ArXiv 1011.2460

[126] article : “Topological phases: An expedition off lattice,” Ann. Physics 326 : 8 (2011), pp. 2108–2137. MR 2812881 Zbl 1221.81219 ArXiv 1102.0270

[127] techreport : 3D non-abelian anyons: Degeneracy splitting and detection by adiabatic cooling. Preprint, February 2011. ArXiv 1102.5742

[128] article : “Projective ribbon permutation statistics: A remnant of non-Abelian braiding in higher dimensions,” Phys. Rev. B 83 : 11 (2011), pp. 115132. ArXiv 1005.0583