Induction Functor in Non-commutative Equivariant Cohomology and Dirac Cohomology
Representation Theory
2007-05-23 v1 Algebraic Geometry
Abstract
The aim of this paper is to put some recent results of Huang-Pandzic (conjectured by Vogan) and Kostant on Dirac cohomology in a broader perspective.This is achieved by introducing an induction functor in the noncommutative equivariant cohomology. In this context, the results of Huang-Pandzic and Kostant are interpreted as special cases (corresponding to the manifold being a point) of more general results on noncommutative equivariant cohomology introduced by Alekseev-Meinrenken.
Keywords
Cite
@article{arxiv.math/0305304,
title = {Induction Functor in Non-commutative Equivariant Cohomology and Dirac Cohomology},
author = {Shrawan Kumar},
journal= {arXiv preprint arXiv:math/0305304},
year = {2007}
}
Comments
24 pages, no figures