14 citations · 70 across the 24 of their papers we have counts for
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math.KT2019★ 11 cited
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…
math.SG2019★ 2 cited
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…
math.KT2019★ 1 cited
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…