Elliptic cohomology
Séminaire Bourbaki : volume 1987/88, exposés 686-699, Astérisque, no. 161-162 (1988), Exposé no. 695, 15 p. 
@incollection{SB_1987-1988__30__187_0,
     author = {Segal, Graeme},
     title = {Elliptic cohomology},
     booktitle = {S\'eminaire Bourbaki : volume 1987/88, expos\'es 686-699},
     series = {Ast\'erisque},
     note = {talk:695},
     pages = {187--201},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {161-162},
     year = {1988},
     mrnumber = {992209},
     zbl = {0686.55003},
     language = {en},
     url = {http://www.numdam.org/item/SB_1987-1988__30__187_0/}
}
TY  - CHAP
AU  - Segal, Graeme
TI  - Elliptic cohomology
BT  - Séminaire Bourbaki : volume 1987/88, exposés 686-699
AU  - Collectif
T3  - Astérisque
N1  - talk:695
PY  - 1988
SP  - 187
EP  - 201
IS  - 161-162
PB  - Société mathématique de France
UR  - http://www.numdam.org/item/SB_1987-1988__30__187_0/
LA  - en
ID  - SB_1987-1988__30__187_0
ER  - 
%0 Book Section
%A Segal, Graeme
%T Elliptic cohomology
%B Séminaire Bourbaki : volume 1987/88, exposés 686-699
%A Collectif
%S Astérisque
%Z talk:695
%D 1988
%P 187-201
%N 161-162
%I Société mathématique de France
%U http://www.numdam.org/item/SB_1987-1988__30__187_0/
%G en
%F SB_1987-1988__30__187_0
Segal, Graeme. Elliptic cohomology, dans Séminaire Bourbaki : volume 1987/88, exposés 686-699, Astérisque, no. 161-162 (1988), Exposé no. 695, 15 p. http://www.numdam.org/item/SB_1987-1988__30__187_0/

[1] Proceedings of Conference on Elliptic Curves and Modular Forms in Algebraic Topology. Princeton, September 1986, to appear in Springer Lecture Notes in Mathematics. | MR | Zbl

[2] J. F. Adams - Quillen's work on formal groups and complex cobordism. IN Stable homotopy and generalised homology, Chicago Lectures in Mathematics, U. of Chicago Press, 1974. | MR | Zbl

[3] M. F. Atiyah - Characters and cohomology of finite groups. Publ. Math. I.H.E.S. Paris, 9 (1961), 23-64. | Numdam | MR | Zbl

[4] M. F. Atiyah - K-theory. Benjamin, 1967. | MR

[5] M. F. Atiyah - Circular symmetry and stationary phase approximation. IN Proceedings of Conference in honour of L. Schwartz, Astérisque, 131 (1985), 43-59. | Numdam | MR | Zbl

[6] M. F. Atiyah, R. Bott and V. K. Patodi - On the heat equation and the index theorem. Inventiones math., 19 (1973), 279-330. | MR | Zbl

[7] M. F. Atiyah and G. B. Segal - The index of elliptic operators II. Ann. of Math., 87 (1968), 531-545. | MR | Zbl

[8] J. M. Bismut - Localization formulas, superconnections, and the index theorem for families. Commun. Math. Phys., 103 (1986), 127-166. | MR | Zbl

[9] J. L. Brylinski - Representations of loop groups, Dirac operators on loop space, and modular forms. To appear. | MR | Zbl

[10] E. T. Copson - Theory of functions of a complex variable. Oxford Univ. Press, 1935. | JFM | Zbl

[11] E. Dyer - Cohomology theories. Benjamin, 1969. | MR | Zbl

[12] E. Getzler, J. D. S. Jones and S. B. Petrack - Loop spaces, cyclic cohomology, and the Chern character. IN Proc. Joint US-UK Seminar on Operator Algebras. Warwick, 1987. London Math. Soc. Lecture Notes, 1988. | MR | Zbl

[13] T. G. Goodwillie - Cyclic homology, derivations, and the free loop space. Topology, 24 (1985), 187-215. | MR | Zbl

[14] M. J. Hopkins, N. J. Kuhn and D. C. Ravenel - Complex oriented cohomology of classifying spaces. To appear.

[15] A. Kirillov - Orbits of the diffeomorphism group of the circle, and a local Lie superalgebra. Funktsionalnii Anal. i yevo Pril., 15 (1981), 75-76. | MR | Zbl

[16] P. S. Landweber - Homological properties of comodules over MU*MU and BP*BP. Amer. J. Math., 98 (1976), 591-610. | MR | Zbl

[17] P. S. Landweber, D. C. Ravenel and R. E. Stong - Periodic cohomology theories defined by elliptic curves. To appear. | MR | Zbl

[18] J. W. Milnor and J. D. Stasheff - Characteristic classes. Ann. of Math. Studies 76, Princeton, 1974. | MR | Zbl

[19] S. Ochanine - Sur Zes genres multiplicatifs définis par des intégrales elliptiques. Topology, 26 (1987), 143-151. | MR | Zbl

[20] A. Pressley and G. Segal - Loop Groups. Oxford Univ. Press, 1986. | MR | Zbl

[21] D. C. Ravenel - Complex cobordism and stable homotopy groups of spheres. Academic Press, 1986. | MR | Zbl

[22] G. B. Segal - Unitary representations of some infinite dimensional groups. Commun. Math. Phys., 80 (1981), 301-42. | MR | Zbl

[23] G. B. Segal - The definition of conformal field theory. To appear. | MR | Zbl

[24] J. P. Serre - Cours d'arithmétique. Presses Universitaires de France, 1970. | MR | Zbl

[25] C. H. Taubes - S1 actions and elliptic genera. To appear. | MR | Zbl

[26] E. Witten - Elliptic genera and quantum field theory. Commun. Math. Phys., 109 (1987), 525-536. | MR | Zbl

[27] E. Witten - The index of the Dirac operator on loop space. IN [1]. | Zbl

[28] D. Zagier - A note on the Landweber-Stong elliptic genus. IN [1]. | Zbl

[29] O. Alvarez, T. Killingback, M. Mangano and P. Windey - String theory and loop space index theorems. Comm. Math. Phys. 111 (1987). | MR | Zbl