Formules de localisation en cohomologie équivariante
Paradan, Paul-Emile
HAL, hal-00773247 / Harvested from HAL
Text on HAL
In this paper, we develop a method of localization in equivariant cohomology based on the notion of partition of unity cohomology. We apply this method in two cases. In the first case, this method gives a refinement of the localization of Atiyah-Bott and Berline-Vergne (in the frame given by Bismut). After, we consider the Hamiltonian action of a torus, and we realise, following the idea of Witten, the localization on the critical points of the square of the moment map.
Publié le : 1999-07-05
Classification:  equivariant cohomology,  Hamiltonian action,  localization,  moment map,  generalized equivariant forms,  [MATH.MATH-SG]Mathematics [math]/Symplectic Geometry [math.SG] 
@article{hal-00773247,
     author = {Paradan, Paul-Emile},
     title = {Formules de localisation en cohomologie \'equivariante},
     journal = {HAL},
     volume = {1999},
     number = {0},
     year = {1999},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/hal-00773247}
}

Paradan, Paul-Emile. Formules de localisation en cohomologie équivariante. HAL, Tome 1999 (1999) no. 0, . http://gdmltest.u-ga.fr/item/hal-00773247/