11 citations · 17 across the 4 of their papers we have counts for
10 papers
Riemannian foliations and geometric quantization
Yi Lin, Yiannis Loizides, Reyer Sjamaar +1
We introduce geometric quantization for constant rank presymplectic structures with Riemannian null foliation and compact leaf closure space. We prove a quantization-commutes-with-…
Cartan Motion Group and Orbital Integrals
Yanli Song, Xiang Tang
In this short note, we study the variation of orbital integrals, as traces on the group algebra , under the deformation groupoid. We show that orbital integrals are continuous u…
Higher Orbit Integrals, Cyclic Cocyles, and K-theory of Reduced Group C*-algebra
Yanli Song, Xiang Tang
Let G be a connected real reductive group. Orbit integrals define traces on the group algebra of G. We introduce a construction of higher orbit integrals in the direction of higher…
Geometric quantization of b-symplectic manifolds
Maxim Braverman, Yiannis Loizides, Yanli Song
We introduce a method of geometric quantization for compact -symplectic manifolds in terms of the index of an Atiyah-Patodi-Singer (APS) boundary value problem. We show further…
A KK-theoretic perspective on deformed Dirac operators
Yiannis Loizides, Rudy Rodsphon, Yanli Song
We study the index theory of a class of perturbed Dirac operators on non-compact manifolds of the form , where is a Clifford mul…
Norm-square localization and the quantization of Hamiltonian loop group spaces
Yiannis Loizides, Yanli Song
In an earlier article we introduced a new definition for the `quantization' of a Hamiltonian loop group space , involving the equivariant -index of a Dirac-type o…