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Celebratio Mathematica

James Simons

Bibliography

[1] J. Si­mons: “On the trans­it­iv­ity of holonomy sys­tems,” Ann. Math. (2) 76 : 2 (September 1962), pp. 213–​234. Based on the au­thor’s 1962 PhD thes­is. MR 0148010 Zbl 0106.​15201 article

[2] J. H. Si­mons: On the trans­it­iv­ity of holonomy sys­tems. Ph.D. thesis, UC-Berke­ley, 1962. Ad­vised by B. Kostant. An art­icle based on this thes­is was pub­lished in Ann. Math. 76:2 (1962). MR 2939297 phdthesis

[3] J. Si­mons: “Min­im­al cones, Plat­eau’s prob­lem, and the Bern­stein con­jec­ture,” Proc. Natl. Acad. Sci. U.S.A. 58 : 2 (August 1967), pp. 410–​411. MR 0216387 Zbl 0168.​09903 article

[4] J. Si­mons: “A note on min­im­al vari­et­ies,” Bull. Am. Math. Soc. 73 : 3 (1967), pp. 491–​495. MR 0208481 Zbl 0153.​23201 article

[5] J. Si­mons: “Min­im­al vari­et­ies in rieman­ni­an man­i­folds,” Ann. Math. (2) 88 : 1 (July 1968), pp. 62–​105. Rus­si­an trans­la­tions were pub­lished in Tse­lochislennyye po­toki i min­im­al’nyye poverkh­nosti (1973) and Matem­atika 16:6 (1972). MR 0233295 Zbl 0181.​49702 article

[6] S.-S. Chern and J. Si­mons: “Some co­homo­logy classes in prin­cip­al fiber bundles and their ap­plic­a­tion to Rieman­ni­an geo­metry,” Proc. Natl. Acad. Sci. U.S.A. 68 : 4 (April 1971), pp. 791–​794. MR 0279732 Zbl 0209.​25401 article

[7] J. Si­mons: “Min­im­al vari­et­ies in rieman­ni­an man­i­folds,” Matem­atika 16 : 6 (1972), pp. 60–​104. Rus­si­an trans­la­tion of an art­icle pub­lished in Ann. Math. 88:1 (1968). Zbl 0241.​53034 article

[8] H. B. Lawson, Jr. and J. Si­mons: “On stable cur­rents and their ap­plic­a­tion to glob­al prob­lems in real and com­plex geo­metry,” Ann. Math. (2) 98 : 3 (November 1973), pp. 427–​450. Ded­ic­ated to S. S. Chern on his 60th birth­day. MR 0324529 Zbl 0283.​53049 article

[9] J. Si­mons: “Min­im­al vari­et­ies in rieman­ni­an man­i­folds,” pp. 132–​202 in Tse­lochislennyye po­toki i min­im­al’nyye poverkh­nosti [In­teg­ral flows and min­im­al sur­faces]. Mir, 1973. Rus­si­an trans­la­tion of an art­icle pub­lished in Ann. Math. 88:1 (1968). Zbl 0274.​53057 incollection

[10] S.-S. Chern and J. Si­mons: “Char­ac­ter­ist­ic forms and geo­met­ric in­vari­ants,” Ann. Math. (2) 99 : 1 (January 1974), pp. 48–​69. MR 0353327 Zbl 0283.​53036 article

[11] J.-P. Bour­guignon, H. B. Lawson, and J. Si­mons: “Sta­bil­ity and gap phe­nom­ena for Yang–Mills fields,” Proc. Natl. Acad. Sci. U.S.A. 76 : 4 (April 1979), pp. 1550–​1553. MR 526178 Zbl 0408.​53023 article

[12] J. Chee­ger and J. Si­mons: “Dif­fer­en­tial char­ac­ters and geo­met­ric in­vari­ants,” pp. 50–​80 in Geo­metry and to­po­logy (Col­lege Park, MD, 1983–1984). Edi­ted by J. Al­ex­an­der and J. Harer. Lec­ture Notes in Math­em­at­ics 1167. Spring­er (Ber­lin), 1985. MR 827262 Zbl 0621.​57010 incollection

[13] J. Si­mons: “My in­ter­ac­tion with S. S. Chern,” pp. 176–​178 in S. S. Chern: A great geo­met­er of the twen­ti­eth cen­tury (Los Angeles, 1990). Edi­ted by S.-T. Yau. In­ter­na­tion­al Press (Hong Kong), 1992. MR 1201357 incollection

[14] J. Si­mons and D. Sul­li­van: “Struc­tured bundles define dif­fer­en­tial K-the­ory,” pp. 1–​3 in Géométrie différen­ti­elle, physique math­ématique, math­ématiques et so­ciété, I: Volume en l’hon­neur de Jean Pierre Bour­guignon [Dif­fer­en­tial geo­metry, math­em­at­ic­al phys­ics, math­em­at­ics and so­ci­ety, I: Volume in hon­or of Jean Pierre Bour­guignon]. Edi­ted by O. Hijazi. As­térisque 321–​322. So­ciété Math­ématique de France (Par­is), 2008. MR 2521641 Zbl 1204.​57021 incollection

[15] J. Si­mons and D. Sul­li­van: “Ax­io­mat­ic char­ac­ter­iz­a­tion of or­din­ary dif­fer­en­tial co­homo­logy,” J. To­pol. 1 : 1 (2008), pp. 45–​56. MR 2365651 Zbl 1163.​57020 ArXiv math/​0701077 article

[16] J. Si­mons and D. Sul­li­van: “Struc­tured vec­tor bundles define dif­fer­en­tial K-the­ory,” pp. 579–​599 in Quanta of maths: Con­fer­ence on non­com­mut­at­ive geo­metry in hon­or of Alain Connes (Par­is, 29 March–6 April 2007). Edi­ted by E. Blan­chard. Clay Math­em­at­ics Pro­ceed­ings 11. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 2010. MR 2732065 Zbl 1216.​19009 incollection

[17] J. Si­mons and D. Sul­li­van: “The Atiyah–Sing­er in­dex the­or­em and Chern–Weil forms,” pp. 643–​645 in Spe­cial is­sue: In hon­or of Mi­chael Atiyah and Is­ad­ore Sing­er, published as Pure Ap­pl. Math. Q. 6 : 2 (2010). MR 2761861 Zbl 1222.​58015 incollection

[18] J. Si­mons and D. Sul­li­van: “Dif­fer­en­tial char­ac­ters for K-the­ory,” pp. 353–​361 in Met­ric and dif­fer­en­tial geo­metry: The Jeff Chee­ger an­niversary volume (Tianjin and Beijing, China, 11–15 May 2009). Edi­ted by X. Dai and X. Rong. Pro­gress in Math­em­at­ics 297. Spring­er (Ber­lin), 2012. MR 3220448 Zbl 1256.​19007 incollection