Zeros d’un champ de vecteurs et classes characteristiques équivariantes. (French) Zbl 0515.58007


58C30 Fixed-point theorems on manifolds
14C40 Riemann-Roch theorems
57R20 Characteristic classes and numbers in differential topology
57R25 Vector fields, frame fields in differential topology
58A12 de Rham theory in global analysis
37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems


Zbl 0145.438
Full Text: DOI


[1] M. F. Atiyah and R. Bott, A Lefschetz fixed point formula for elliptic complexes. I , Ann. of Math. (2) 86 (1967), 374-407. JSTOR: · Zbl 0161.43201
[2] N. Berline and M. Vergne, Fourier transforms of orbits of the coadjoint representation , Proceedings of the conference on “Representations of Reductive groups”. Park City, Utah, 1982. A paraître dans: Progress in Mathematics, Birkhaüser, Boston.
[3] R. Bott, Vector fields and characteristic numbers , Michigan Math. J. 14 (1967), 231-244. · Zbl 0145.43801
[4] J. J. Duistermaat and G. J. Heckman, On the variation in the cohomology of the symplectic form of the reduced phase space , A paraître. · Zbl 0503.58016
[5] S. Kobayashi and K. Nomizu, Foundations of differential geometry. Vol. II , Interscience Tracts in Pure and Applied Mathematics, No. 15 Vol. II, Interscience Publishers John Wiley & Sons, Inc., New York-London-Sydney, 1969. · Zbl 0175.48504
[6] B. Kostant, Quantization and unitary representations. I. Prequantization , Lectures in modern analysis and applications, III, Springer, Berlin, 1970, 87-208. Lecture Notes in Math., Vol. 170. · Zbl 0223.53028
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.