### Complete Bibliography

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“Some problems of Gel’fand,”
Uspehi Mat. Nauk
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“Basic sequences and reflexivity of Banach spaces,”
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[40] : “Operator theory and periodicity,” pp. 949–951 in Proceedings of an international symposium on operator theory (Bloomington, IN, 1–5 June 1970), published as Indiana Univ. Math. J. 20 : 10. Issue edited by P. R. Halmos, E. Hopf, and G. Springer. April 1971. MR 445304 Zbl 0228.55020 incollection

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Annals of Mathematics Studies 70.
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[43] : Prospects in mathematics (Princeton, NJ, 16–18 March 1970). Annals of Mathematics Studies 70. Princeton University Press and University of Tokyo Press, 1971. MR 335223 Zbl 0233.00003 book

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“The index of elliptic operators, V,”
Usp. Mat. Nauk
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[46] : “An index theorem for Wiener–Hopf operators on the discrete quarter-plane,” J. Diff. Geom. 6 : 4 (1972), pp. 587–593. This issue is dedicated to S. S. Chern and D. C. Spencer on their sixtieth birthdays. MR 321142 Zbl 0252.47026 article

[47] : “Spectral asymmetry and Riemannian geometry,” Bull. London Math. Soc. 5 (July 1973), pp. 229–234. MR 331443 Zbl 0268.58010 article

[48] : “Analytic torsion for complex manifolds,” Ann. Math. (2) 98 (July 1973), pp. 154–177. MR 383463 Zbl 0267.32014 article

[49] : “Recent applications of index theory for elliptic operators,” pp. 11–31 in Partial differential equations (Berkeley, CA, 9–27 August 1971). Edited by D. C. Spencer. Proceedings of Symposia in Pure Mathematics 23. American Mathematical Society (Providence, RI), 1973. MR 341538 Zbl 0293.58013 incollection

[50] : “Analytic torsion,” pp. 167–181 in Partial differential equations (Berkeley, CA, 9–27 August 1971). Edited by D. C. Spencer. Proceedings of Symposia in Pure Mathematics 23. American Mathematical Society (Providence, RI), 1973. MR 339293 Zbl 0273.58014 incollection

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“__\( C^* \)__-algebras of almost periodic pseudo-differential operators,”
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[53] : “Spectral asymmetry and Riemannian geometry, II,” Math. Proc. Cambridge Philos. Soc. 78 : 3 (November 1975), pp. 405–432. MR 397798 Zbl 0314.58016 article

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[55] : “Eigenvalues of the Laplacian and invariants of manifolds,” pp. 187–200 in Proceedings of the International Congress of Mathematicians (Vancouver, BC, 21–29 August 1974), vol. 1. Edited by R. D. James. Canadian Mathematical Congress (Montreal), 1975. MR 420746 Zbl 0345.58014 incollection

[56] : “Isomorphismes entre algèbres d’opérateurs pseudo-différentiels” [Isomorphisms between algebras of pseudo-differential operators] in Équations aux dérivées partielles linéaires et non linéaires [Linear and nonlinear partial differential equations]. École Polytechnique (Paris), 1975. Goulaouic–Lions–Schwartz seminar 1974–1975, Exposé no. 24, 8 pp. MR 482869 Zbl 0306.58017 incollection

[57] : “Spectral asymmetry and Riemannian geometry, III,” Math. Proc. Cambridge Philos. Soc. 79 : 1 (1976), pp. 71–99. MR 397799 Zbl 0325.58015 article

[58] : Lecture notes on elementary topology and geometry, reprint edition. Undergraduate Texts in Mathematics. Springer (New York), 1976. Reprint of 1967 original. MR 413152 Zbl 0342.54002 book

[59] : “Order-preserving isomorphisms between algebras of pseudo-differential operators,” Comm. Pure Appl. Math. 29 : 1 (1976), pp. 39–47. MR 402830 Zbl 0317.58017 article

[60] : “Deformations of instantons,” Proc. Nat. Acad. Sci. U.S.A. 74 : 7 (July 1977), pp. 2662–2663. MR 458424 Zbl 0356.58011 article

[61]
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[62]
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[63] : “Self-duality in four-dimensional Riemannian geometry,” Proc. Roy. Soc. London Ser. A 362 : 1711 (September 1978), pp. 425–461. MR 506229 Zbl 0389.53011 article

[64] : “Some remarks on the Gribov ambiguity,” Comm. Math. Phys. 60 : 1 (February 1978), pp. 7–12. MR 500248 Zbl 0379.53009 article

[65] : “Isadore Singer and differential geometry,” Science 204 : 4396 (1 June 1979), pp. 933–934. MR 531490 Zbl 1225.01074 article

[66] The Chern symposium 1979: Proceedings of the international symposium on differential geometry in honor of S.-S. Chern (Berkeley, CA, June 1979). Edited by W.-Y. Hsiang, S. Kobayashi, I. M. Singer, A. Weinstein, J. Wolf, and H.-H. Wu. Springer (New York), 1980. MR 609553 Zbl 0443.00012 book

[67] : “The geometry of the orbit space for nonabelian gauge theories,” Phys. Scr. 24 : 5 (1981), pp. 817–820. MR 639408 Zbl 1063.81623 article

[68]
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[69] : “On Yang–Mills fields,” pp. 35–50 in Nonlinear problems: Present and future (Los Alamos, NM, 2–6 March 1981). Edited by A. Bishop, D. Campbell, and B. Nicolaenko. North-Holland Mathematics Studies 61. North-Holland (Amsterdam), 1982. MR 675626 Zbl 0499.35092 incollection

[70]
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“Eta invariants, signature defects of cusps, and values of __\( L \)__-functions,”
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[71] Banach space theory and its applications: Proceedings of the first Romanian–GDR seminar (Bucharest, Romania, 31 August–6 September 1981). Edited by A. Pietsch, N. Popa, and I. Singer. Lecture Notes in Mathematics 991. Springer (Berlin), 1983. MR 714167 Zbl 0504.00015 book

[72] : “Dirac operators coupled to vector potentials,” Proc. Nat. Acad. Sci. U.S.A. 81 : 8 (April 1984), pp. 2597–2600. MR 742394 Zbl 0547.58033 article

[73]
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[74] : “Gravitational anomalies and the family’s index theorem,” Comm. Math. Phys. 96 : 3 (1984), pp. 409–417. MR 769356 Zbl 0587.58042 article

[75] : “Families of Dirac operators with applications to physics,” pp. 323–340 in Élie Cartan et les mathématiques d’aujourd’hui: The mathematical heritage of Élie Cartan [Élie Cartan and the mathematics of today: The mathematical heritage of Élie Cartan] (Lyon, France, 25–29 June 1984). Astérisque. Société Mathématique de France (Paris), 1985. MR 837207 Zbl 0603.58054 incollection

[76] Vertex operators in mathematics and physics (Berkeley, CA, 10–17 November 1983). Edited by J. Lepowsky, S. Mandelstam, and I. M. Singer. Mathematical Sciences Research Institute Publications 3. Springer (New York), 1985. MR 781369 Zbl 0549.00013 book

[77] : “An estimate of the gap of the first two eigenvalues in the Schrödinger operator,” Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 12 : 2 (1985), pp. 319–333. MR 829055 Zbl 0603.35070 article

[78]
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Phys. Today
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[79]
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“Differential geometry, fiber bundles and physical theories,”
Fiz.-Mat. Spis.
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[80] : “Modular forms and the cosmological constant,” Phys. Lett. B 178 : 2–3 (October 1986), pp. 167–173. MR 858672 article

[81]
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“The __\( \eta \)__-invariant and the index,”
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[82] : “Some problems in the quantization of gauge theories and string theories,” pp. 199–216 in The mathematical heritage of Hermann Weyl (Durham, NC, 12–16 May 1987). Edited by R. O. Wells, Jr. Proceedings of Symposia in Pure Mathematics 48. American Mathematical Society (Providence, RI), 1988. MR 974336 Zbl 0702.58010 incollection

[83]
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[84] : “Topological Yang–Mills symmetry,” pp. 12–19 in Conformal field theories and related topics (Annecy-le-Vieux, France, 14–16 March 1988), published as Nuclear Phys. B Proc. Suppl. 5B : 2. Issue edited by R. Stora, P. Binétruy, and P. Sorba. North-Holland (Amsterdam), December 1988. MR 1002954 Zbl 0958.58500 incollection

[85]
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“Extending __\( \overline\partial \)__ to singular Riemann surfaces,”
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[86] : “Some comments on Chern–Simons gauge theory,” Comm. Math. Phys. 126 : 2 (December 1989), pp. 409–420. MR 1027504 Zbl 0686.53066 article

[87] : “The topological sigma model,” Comm. Math. Phys. 125 : 2 (June 1989), pp. 227–237. MR 1016870 Zbl 0684.57016 article

[88] : “Quantum mechanics and the geometry of the Weyl character formula,” Nuclear Phys. B 337 : 2 (June 1990), pp. 467–486. MR 1057724 article

[89] : “Entretien avec Isadore Singer” [Interview with Isadore Singer], Gaz. Math. 43 (1990), pp. 3–10. MR 1035386 article

[90] The legacy of John von Neumann (Hempstead, NY, 29 May–4 June 1988). Edited by J. Glimm, J. Impagliazzo, and I. Singer. Proceedings of Symposia in Pure Mathematics 50. American Mathematical Society (Providence, RI), 1990. Zbl 0699.00010 book

[91] : “Conformally invariant gauge fixed actions for 2-D topological gravity,” Comm. Math. Phys. 135 : 2 (1991), pp. 253–265. MR 1087384 Zbl 0725.53071 article

[92] : “The new mathematical physics,” pp. 187–191 in Elementary particles and the universe: Essays in honor of Murray Gell-Mann (Pasadena, CA, 27–28 September 1989). Edited by J. H. Schwarz. Cambridge University Press, 1991. MR 1145030 incollection

[93]
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Edited by S. Gindikin and I. M. Singer.
North-Holland and Pitagora Editrice (Amsterdam and Bologna),
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[94] : “S. S. Chern at Chicago,” pp. 88–90 in Chern: A great geometer of the twentieth century. Edited by S.-T. Yau. International Press (Hong Kong), 1992. MR 1201344 incollection

[95]
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“The supersymmetric __\( \sigma \)__-model and the geometry of the Weyl–Kač character formula,”
Nuclear Phys. B
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[96] : “Chern–Simons perturbation theory,” pp. 3–45 in Proceedings of the XXth international conference on differential geometric methods in theoretical physics (New York, 3–7 June 1991), vol. 1. Edited by S. Catto and A. Rocha. World Scientific (River Edge, NJ), 1992. MR 1225107 Zbl 0813.53051 ArXiv hep-th/9110056 incollection

[97] : The current interface of geometry and elementary particle physics, 1994. 90 minute videocassette. A joint AMS-MAA lecture presented in Baltimore, Maryland, 11 January 1992. Introduced by Franklin P. Peterson. MR 1284042 Zbl 0803.53002 misc

[98] : “Chern–Simons perturbation theory. II,” pp. 17–49 in Perspectives in mathematical physics. Conf. Proc. Lecture Notes Math. Phys. III. Int. Press (Cambridge, MA), 1994. MR 1314660 Zbl 0889.53053

[99]
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[100] Current developments in mathematics, 1995 (Boston, MA, 7–8 May 1995). Edited by R. Bott, A. Jaffe, S.-T. Yau, M. Hopkins, I. Singer, and D. Stroock. Current Developments in Mathematics. International Press (Cambridge, MA), 1995. MR 1474976 Zbl 0833.00016 book

[101] : “On the master field in two dimensions,” pp. 263–281 in Functional analysis on the eve of the 21st century: In honor of the eightieth birthday of I. M. Gelfand (New Brunswick, NJ, 24–27 October 1993), vol. 1. Edited by S. Gindikin, J. Lepowsky, and R. L. Wilson. Progress in Mathematics 131. Birkhäuser (Boston), 1995. MR 1373007 Zbl 0861.53075 incollection

[102] : “Tribute to I. M. Gelfand for his 80th birthday celebration,” pp. xix–xxii in Functional analysis on the eve of the 21st century: In honor of the eightieth birthday of I. M. Gelfand (New Brunswick, NJ, 24–27 October 1993), vol. 1. Edited by S. Gindikin, J. Lepowsky, and R. L. Wilson. Progress in Mathematics 132. Birkhäuser (Boston), 1996. MR 1389018 Zbl 0841.01019 incollection

[103] : “A tribute to Warren Ambrose,” Notices Amer. Math. Soc. 43 : 4 (April 1996), pp. 425–427. MR 1379775 Zbl 1044.01546 article

[104] Current developments in mathematics 1996 (Cambridge, MA, 1996). Edited by R. Bott, A. Jaffe, D. Jerison, G. Lusztig, I. Singer, and S.-T. Yau. Current Developments in Mathematics. International Press (Cambridge, MA), 1997. MR 1724942 Zbl 0899.00015 book

[105] The legacy of Norbert Wiener: A centennial symposium (Cambridge, MA, 8–14 October 1994). Edited by D. Jerison, I. M. Singer, and D. W. Stroock. Proceedings of Symposia in Pure Mathematics 60. American Mathematical Society (Providence, RI), 1997. MR 1460268 Zbl 0869.00026 book

[106] Current developments in mathematics 1997 (Cambridge, MA, 1997), preliminary edition. Edited by R. Bott, A. Jaffe, S.-T. Yau, D. Jerison, and I. Singer. International Press (Cambridge, MA), 1997. Preliminary version of a book eventually published in 1999. Zbl 0899.00016 book

[107] : “Cohomological Yang–Mills theory in eight dimensions,” pp. 365–373 in Dualities in gauge and string theories (Seoul and Sokcho, S. Korea, 17–28 February 1997). Edited by Y. M. Cho and S. Nam. World Scientific (River Edge, NJ), 1998. MR 1712267 Zbl 1052.53508 incollection

[108] : “Special quantum field theories in eight and other dimensions,” Comm. Math. Phys. 194 : 1 (May 1998), pp. 149–175. MR 1628298 Zbl 0910.53054 article

[109] Current developments in mathematics 1997 (Cambridge, MA, 1997). Edited by R. Bott, A. Jaffe, S.-T. Yau, D. Jerison, G. Lusztig, and I. Singer. Current Developments in Mathematics. International Press (Boston), 1999. A preliminary version was published in 1997. MR 1698851 Zbl 0927.00019 book

[110] Current developments in mathematics 1998 (Cambridge, MA, 1998). Edited by B. Mazur, W. Schmid, S.-T. Yau, D. Jerison, I. M. Singer, and D. Stroock. Current Developments in Mathematics. International Press (Somerville, MA), 1999. MR 1772320 Zbl 0963.00022 book

[111] Current developments in mathematics 1999 (Cambridge, MA, 1999). Edited by B. Mazur, W. Schmid, S.-T. Yau, D. Jerison, I. M. Singer, and D. Stroock. Current Developments in Mathematics. International Press (Somerville, MA), 1999. MR 1990245 Zbl 1051.00008 book

[112] “2000 Steele Prizes,” Notices Amer. Math. Soc. 47 : 4 (April 2000), pp. 477–480. MR 1745621 Zbl 1040.01503 article

[113]
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Surveys in Differential Geometry 7.
International Press (Somerville, MA),
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Reprinted in *The founders of index theory* (2009).
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[121] : “The index of projective families of elliptic operators,” Geom. Topol. 9 : 1 (2005), pp. 341–373. MR 2140985 Zbl 1083.58021 ArXiv math.DG/0206002 article

[122] : “Quadratic functions in geometry, topology, and M-theory,” J. Diff. Geom. 70 : 3 (2005), pp. 329–452. MR 2192936 Zbl 1116.58018 ArXiv math/0211216 article

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[125] The unity of mathematics: In honor of the ninetieth birthday of I. M. Gelfand (Cambridge, MA, 31 August–4 September 2003). Edited by P. Etingof, V. Retakh, and I. M. Singer. Progress in Mathematics 244. Birkhäuser (Boston, MA), 2006. MR 2182597 Zbl 1083.00015 book

[126] Quantum field theory, supersymmetry, and enumerative geometry. Edited by D. S. Freed, D. R. Morrison, and I. Singer. IAS/Park City Mathematics Series 11. American Mathematical Society (Providence, RI), 2006. MR 2265374 Zbl 1122.81010 book

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[129] : “The index of projective families of elliptic operators: The decomposable case,” pp. 255–296 in From probability to geometry, II: Volume in honor of the 60th birthday of Jean-Michel Bismut. Edited by X. Dai, R. Léandre, X. Ma, and W. Zhang. Astérisque 328. Société Mathématique de France (Paris), 2009. MR 2674880 Zbl 1207.19006 ArXiv 0809.0028 incollection

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[135] Isadore Singer, August 2009. Online video interview, Simons Foundation “Science Lives” series. misc

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[140] : “Beyond the string genus,” Nuclear Phys. B 850 : 2 (September 2011), pp. 349–386. MR 2803587 Zbl 1229.81212 article

[141] : “Shiing-Shen Chern (1911–2004).” Edited by S.-T. Yau. Notices Amer. Math. Soc. 58 : 9 (2011), pp. 1226–1249. MR 2868099 Zbl 1228.01052 article

[142] Perspectives in mathematics and physics: Essays dedicated to Isadore Singer’s 85th birthday. Edited by T. Mrowka and S.-T. Yau. Surveys in Differential Geometry 15. International Press (Somerville, MA), 2011. MR 2841268 Zbl 1226.00040 book

[143] : “Israel Moiseevich Gelfand, I.” Edited by V. Retakh. Notices Amer. Math. Soc. 60 : 1 (2013), pp. 24–49. MR 3052462 Zbl 1290.01027 article