@incollection{AST_2009__328__297_0,
author = {Paradan, Paul-\'Emile and Vergne, Mich\`ele},
title = {Index of transversally elliptic operators},
booktitle = {From probability to geometry (II) - Volume in honor of the 60th birthday of Jean-Michel Bismut},
editor = {Dai Xianzhe and L\'eandre R\'emi and Xiaonan Ma and Zhang Weiping},
series = {Ast\'erisque},
pages = {297--338},
year = {2009},
publisher = {Soci\'et\'e math\'ematique de France},
number = {328},
mrnumber = {2674881},
zbl = {1209.19003},
language = {en},
url = {https://www.numdam.org/item/AST_2009__328__297_0/}
}
TY - CHAP AU - Paradan, Paul-Émile AU - Vergne, Michèle TI - Index of transversally elliptic operators BT - From probability to geometry (II) - Volume in honor of the 60th birthday of Jean-Michel Bismut AU - Collectif ED - Dai Xianzhe ED - Léandre Rémi ED - Xiaonan Ma ED - Zhang Weiping T3 - Astérisque PY - 2009 SP - 297 EP - 338 IS - 328 PB - Société mathématique de France UR - https://www.numdam.org/item/AST_2009__328__297_0/ LA - en ID - AST_2009__328__297_0 ER -
%0 Book Section %A Paradan, Paul-Émile %A Vergne, Michèle %T Index of transversally elliptic operators %B From probability to geometry (II) - Volume in honor of the 60th birthday of Jean-Michel Bismut %A Collectif %E Dai Xianzhe %E Léandre Rémi %E Xiaonan Ma %E Zhang Weiping %S Astérisque %D 2009 %P 297-338 %N 328 %I Société mathématique de France %U https://www.numdam.org/item/AST_2009__328__297_0/ %G en %F AST_2009__328__297_0
Paradan, Paul-Émile; Vergne, Michèle. Index of transversally elliptic operators, dans From probability to geometry (II) - Volume in honor of the 60th birthday of Jean-Michel Bismut, Astérisque, no. 328 (2009), pp. 297-338. https://www.numdam.org/item/AST_2009__328__297_0/
[1] - Elliptic operators and compact groups, Lecture Notes in Math., vol. 401, Springer, 1974. | MR | Zbl
[2] & - "The index of elliptic operators. II", Ann. of Math. 87 (1968), p. 531-545. | MR | Zbl | DOI
[3] & - "The index of elliptic operators. I", Ann. of Math. 87 (1968), p. 484-530. | MR | Zbl | DOI
[4] & , "The index of elliptic operators. III", Ann. of Math. 87 (1968), p. 546-604. | MR | Zbl | DOI
[5] & , "The index of elliptic operators. V", Ann. of Math. 93 (1971), p. 139-149. | MR | Zbl | DOI
[6] , & - Heat kernels and Dirac operators, Grundlehren Text Editions, Springer, 2004. | MR | Zbl
[7] & - "The Chern character of a transversally elliptic symbol and the equivariant index", Invent. Math. 124 (1996), p. 11-49. | MR | Zbl | DOI
[8] & , "L'indice équivariant des opérateurs transversalement elliptiques", Invent. Math. 124 (1996), p. 51-101. | MR | Zbl | DOI
[9] - "Localization formulas, superconnections, and the index theorem for families", Comm. Math. Phys. 103 (1986), p. 127-166. | MR | Zbl | DOI
[10] & - "Cohomologie équivariante et descente", Astérisque 215 (1993), p. 5-108. | MR
[11] - "An equivariant index formula in contact geometry", Math. Res. Let. 16 (2009), p. 375-391. | MR | Zbl | DOI
[12] & - "Equivariant cohomology with generalized coefficients", Astérisque 215 (1993), p. 109-204, Sur la cohomologie équivariante des variétés différentiables. | MR | Zbl
[13] & - "Superconnections, Thom classes, and equivariant differential forms", Topology 25 (1986), p. 85-110. | MR | Zbl | DOI
[14] - "The moment map and equivariant cohomology with generalized coefficients", Topology 39 (2000), p. 401-444. | MR | Zbl | DOI
[15] , "Localization of the Riemann-Roch character", J. Funct. Anal. 187 (2001), p. 442-509. | MR | Zbl | DOI
[16] , "-quantization and the -multiplicities of the discrete series", Ann. Sci. École Norm. Sup. 36 (2003), p. 805-845. | MR | Zbl | EuDML | Numdam | DOI
[17] & - "Equivariant Chern characters with generalized coefficients", preprint arXiv:0801.2822.
[18] & , "Equivariant relative Thom forms and Chern characters", preprint arXiv:0711.3898.
[19] - "Superconnections and the Chern character", Topology 24 (1985), p. 89-95. | MR | Zbl | DOI
[20] - "Kirillov's character formula for reductive Lie groups", Invent. Math. 48 (1978), p. 207-220. | MR | Zbl | EuDML | DOI
[21] - "Eigenfunction expansions of analytic functions", Proc. Amer. Math. Soc. 21 (1969), p. 734-738. | MR | Zbl | DOI
[22] - "Applications of equivariant cohomology", in International Congress of Mathematicians. Vol. I, Eur. Math. Soc., Zürich, 2007, p. 635-664. | MR | Zbl







