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math.DG2025
Higher Lefschetz formulas on Γ-proper manifolds
Paolo Piazza, Hessel Posthuma, Yanli Song +1
Let be a finitely generated discrete group acting properly and cocompactly on a smooth manifold M. By employing heat-kernel techniques we prove a geometric formula for the pair…
math.DG2025
Simplicial sheaves of modules and Morita invariance of groupoid cohomology
Xiang Tang, Joel Villatoro
In this article we develop a unified framework for proving Morita invariance of cohomology theories associated to Lie groupoids. Our approach is to view these cohomology theories a…
math.DG2025
Heat kernel, large-time behavior, and representation theory
Shu Shen, Yanli Song, Xiang Tang
Given a real reductive group , the purpose of this paper is to show an asymptotic formula of the large-time behavior of the -trace of the heat operator on the associated symm…