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References
M. F. Atiyah. Collected works. Clarendon Press, Oxford, 1988.
M. F. Atiyah. Elliptic operators and compact groups. Lecture notes in Mathematics 401, Springer-Verlag, Berlin-Heidelberg-New-York. 1974
M. F. Atiyah and R. Bott. A Lefschetz fixed-point formula for elliptic complexes: I. Ann. of Math., 86 (1967), 374–407.
M. F. Atiyah and R. Bott. A Lefschetz fixed-point formula for elliptic complexes: II. Ann. of Math., 88 (1968), 451–491.
M. F. Atiyah and R. Bott. The moment map and equivariant cohomology. Topology, 23 (1984), 1–28.
M. F. Atiyah and G. B. Segal. The index of elliptic operators II. Ann. Math., 87 (1968), 531–545.
M. F. Atiyah and I. M. Singer. The index of elliptic operators. I. Ann. Math., 87 (1968), 484–530.
M. F. Atiyah and I. M. Singer. The index of elliptic operators. III. Ann. Math., 87, (1968), 546–604.
N. Berline, E. Getzler and M. Vergne. Heat kernels and Dirac operators. Springer-Verlag, Grundlehren der math. Wiss. 298. 1992
N. Berline et M. Vergne. Classes caractéristiques équivariantes. Formule de localisation en cohomologie équivariante. C. R. Acad. Sci. Paris, 295 (1982), 539–541.
N. Berline et M. Vergne. Zéros d’un champ de vecteurs et classes caractéristiques équivariantes. Duke Math. Journal, 50 (1983), 539–549.
N. Berline and M. Vergne. The equivariant index and Kirillov character formula. Amer. J. of Math, 107 (1985), 1159–1190.
N. Berline and M. Vergne. Open problems in representations theory of Lie groups. Proceedings of the eighteenth international symposium, division of mathematics, the Taniguchi foundation, 1986
N. Berline et M. Vergne. Indice équivariant et caractère d’une représentation induite. In “D-Modules and Microlocal Geometry” Walter de Gruyter 1992
J. Block and E. Getzler. Equivariant cyclic homology and equivariant differential forms. Annales de l’Ec. Norm. Sup.; to appear
H. Cartan. Notions d’algèbre différentielle; applications aux groupes de Lie et aux variétés où opère un groupe de Lie. In “Colloque de Topologie”. C. B. R. M., Bruxelles, (1950), 15–27.
H. Cartan. La transgression dans un groupe de Lie et dans un espace fibré principal. In “Colloque de Topologie”. C. B. R. M., Bruxelles, (1950), 57–71.
M. Duflo et M. Vergne. Orbites coadjointes et cohomologie équivariante. In The orbit method in representation theory. Birkhäuser, Progress in math., 82 (1990), 11–60.
M. Duflo et M. Vergne. Cohomologie équivariante et descente. Preprint DMI, (1992), 1–121.
M. Duflo et M. Vergne. Cohomologie équivariante et descente I, II. C. R. Acad. Sci. Paris, 316 (1993), 971–976 and 1143–1148.
D. Quillen. Superconnections and the Chern character. Topology, 24 (1985), 37–41.
G. Segal. Equivariant K-theory. Publ.Math.Inst. Hautes Etudes Sci., 34 (1968), 129–151.
M. Vergne. Sur l’indice des opérateurs transversalement elliptiques. C. R. Acad. Sci. Paris, 310 (1990), 329–332.
M. Vergne. Equivariant cohomology and geometric quantization. Proceedings of the European congress in Mathematics. Paris 1992, (Preprint DMI 1993), to appear.
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Berline, N., Vergne, M. (1993). The equivariant Chern character and index of G-invariant operators. Lectures at CIME, Venise 1992. In: Zampieri, G., D’Agnolo, A. (eds) D-modules, Representation Theory, and Quantum Groups. Lecture Notes in Mathematics, vol 1565. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073468
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