31 citations · 151 across the 36 of their papers we have counts for
4 papers · 1 filter
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…
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…
Quantisation of presymplectic manifolds, K-theory and group representations
Peter Hochs
Let be a semisimple Lie group with finite component group, and let be a maximal compact subgroup. We obtain a quantisation commutes with reduction result for actions by $…
Quantisation commutes with reduction at discrete series representations of semisimple groups
Peter Hochs
Using the analytic assembly map that appears in the Baum-Connes conjecture in noncommutative geometry, we generalise the $\Spin^c$-version of the Guillemin-Sternberg conjecture tha…