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On the Vergne conjecture by Hochs, Peter; Song, Yanli is a scholarly article available to read on EtoBox.

What is On the Vergne conjecture about?

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$^c$-Dirac operator in this context. This formula was conjectured by Mich\`ele Vergne in 2006 and proved by Ma and Zhang in 2014.

Author

Hochs, Peter; Song, Yanli

Published

2015

Language

EN