31 citations · 151 across the 36 of their papers we have counts for
4 papers · 1 filter
An equivariant index for proper actions III: the invariant and discrete series indices
Peter Hochs, Yanli Song
We study two special cases of the equivariant index defined in part I of this series. We apply this index to deformations of Spin-Dirac operators, invariant under actions by po…
Spin-structures and proper group actions
Peter Hochs, Varghese Mathai
We generalise Atiyah and Hirzebruch's vanishing theorem for actions by compact groups on compact Spin-manifolds to possibly noncompact groups acting properly and cocompactly on pos…
Quantising proper actions on Spin-manifolds
Peter Hochs, Varghese Mathai
Paradan and Vergne generalised the quantisation commutes with reduction principle of Guillemin and Sternberg from symplectic to Spin-manifolds. We extend their result to noncom…
Formal geometric quantisation for proper actions
Peter Hochs, Varghese Mathai
We define formal geometric quantisation for proper Hamiltonian actions by possibly noncompact groups on possibly noncompact, prequantised symplectic manifolds, generalising work of…