14 citations · 70 across the 24 of their papers we have counts for
4 papers · 1 filter
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…
Dirac operators on quasi-Hamiltonian G-spaces
Yanli Song
We develop notions of twisted spinor bundle and twisted pre-quantum bundle on quasi-Hamiltonian G-spaces. The main result of this paper is that we construct a Dirac operator with i…
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…