31 citations · 151 across the 36 of their papers we have counts for
4 papers · 1 filter
A fixed point theorem on noncompact manifolds
Peter Hochs, Hang Wang
We generalise the Atiyah-Segal-Singer fixed point theorem to noncompact manifolds. Using -theory, we extend the equivariant index to the noncompact setting, and obtain a fixed…
An equivariant index for proper actions I
Peter Hochs, Yanli Song
Equivariant indices have previously been defined in cases where either the group or the orbit space in question is compact. In this paper, we develop an equivariant index without a…
On the Vergne conjecture
Peter Hochs, Yanli Song
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 r…
Equivariant indices of Spin-Dirac operators for proper moment maps
Peter Hochs, Yanli Song
We define an equivariant index of Spin-Dirac operators on possibly noncompact manifolds, acted on by compact, connected Lie groups. The main result in this paper is that the in…