On the Vergne conjecture
Symplectic Geometry
2015-09-09 v1 Differential Geometry
Representation Theory
Abstract
Consider a Hamiltonian action by a compact Lie group on a possibly noncompact symplectic manifold. We give a short proof of a geometric formula for decomposition into irreducible representations of the equivariant index of a Spin-Dirac operator in this context. This formula was conjectured by Mich\`ele Vergne in 2006 and proved by Ma and Zhang in 2014.
Keywords
Cite
@article{arxiv.1509.02425,
title = {On the Vergne conjecture},
author = {Peter Hochs and Yanli Song},
journal= {arXiv preprint arXiv:1509.02425},
year = {2015}
}
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10 pages