On the localization theorem in equivariant cohomology
Michel Brion, Michèle Vergne
Abstract
We present a simple proof of a precise version of the localization theorem in equivariant cohomology. As an application, we describe the cohomology algebra of any compact symplectic variety with a multiplicity-free action of a compact Lie group. This applies in particular to smooth, projective spherical varieties.
Create a lesson
Related papers
Classification of stationary compact homogeneous special pseudo Kähler manifolds of semisimple groups
D. V. Alekseevsky, V. Cortes
Equivariant K-Theory of Simply Connected Lie Groups
Jean-Luc Brylinski, Bin Zhang
Continuous families of isospectral metrics on simply connected manifolds
Dorothee Schueth
The beta function of a knot
Jean-Luc Brylinski
Prescribing Mean Curvature: Existence and Uniqueness Problems
George I. Kamberov
On the Spinor Representation of Surfaces in Euclidean 3-Space
Thomas Friedrich