Keywords
- Elliptic Genus
- Equivariant Cohomology
- Compacte Orientee
- Elliptic Modular Function
- Equivariant Cohomology Ring
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Références
M.F. Atiyah et R. Bott: The moment map and equivariant cohomology. Topology 23(1984), 1–28.
M.F.Atiyah et F.Hirzebruch: Spin-manifolds and group actions. In: Essays on Topology and Related Topics, Springer-Verlag, 1970, 18–28.
A. Borel et F. Hirzebruch: Characteristic classes and homogeneous spaces, I, II. Amer. J. Math. 80(1958), 458–538; 81(1959), 315–382.
D.V.Chudnovsky et G.V.Chudnovsky: Elliptic modular functions and elliptic genera. Topology, à paraître.
S.S. Chern, F. Hirzebruch et J.-P. Serre: On the index of a fibered manifold. Proc. Amer. Math. Soc. 8(1957), 587–596.
M. Gromov et H.B. Lawson,Jr.: Positive scalar curvature and the Dirac operator on complete Riemannian manifolds. Publ. Math. I.H.E.S. 58(1983), 83–196.
I.M. Kričever: Formal groups and Atiyah-Hirzebruch formulae. Izv. Akad. Nauk SSSR, Ser.Mat. 38(1974), 1289–1304.
I.M. Kričever: Obstructions for the existence of S1-actions. Bordism of branched coverings. Izv. Akad. Nauk SSSR, Ser.Mat. 40(1976), 828–844.
P.S.Landweber: Elliptic cohomology and modular forms. Dans ce volume.
P.S.Landweber et R.E.Stong: Circle actions on Spin manifolds and characteristic numbers. Topology, à paraître.
S.Ochanine: Sur les genres multiplicatifs définis par des intégrales elliptiques. Topology, à paraître.
D. Quillen: The spectrum of an equivariant cohomology ring, I, II. Annals of Math. 94(1971), 549–602.
E.Witten: Fermion quantum numbers in Kaluza-Klein theory. In: Proceedings of the 1983 Shelter Island conference on quantum field theory and the fundamental problems of physics (ed. R.Jackiw et al.) MIT Press 1985, 227–277.
E.Witten: Elliptic genera and quantum field theory. Communications in Mathematical Physics, à paraître.
D.Zagier: Note on the Landweber-Stong elliptic genus. Dans ce volume.
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© 1988 Springer-Verlag
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Ochanine, S. (1988). Genres elliptiques equivariants. In: Landweber, P.S. (eds) Elliptic Curves and Modular Forms in Algebraic Topology. Lecture Notes in Mathematics, vol 1326. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078041
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DOI: https://doi.org/10.1007/BFb0078041
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