Using an idea of E. Witten (J. Geom. Phys. 9, 1992) we give a localization formula in equivariant cohomology in the case of a Hamiltonian torus action on a compact symplectic manifold X. The integral over X of an equivariant closed form can be written as an integral over the submanifold of critical points of the square of the moment map.
Publié le : 1997-07-05
Classification:
equivariant cohomology,
localization,
hamiltonian action,
moment map,
[MATH.MATH-SG]Mathematics [math]/Symplectic Geometry [math.SG]
@article{hal-00773242,
author = {Paradan, Paul-Emile},
title = {Action Hamiltonienne et formule de localisation en cohomologie \'equivariante},
journal = {HAL},
volume = {1997},
number = {0},
year = {1997},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00773242}
}
Paradan, Paul-Emile. Action Hamiltonienne et formule de localisation en cohomologie équivariante. HAL, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/hal-00773242/