4 papers · 1 filter
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…
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…
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…
Mapping Cone and Morse Theory
David Clausen, Xiang Tang, Li-Sheng Tseng
On a smooth manifold, we associate to any closed differential form a mapping cone complex. The cohomology of this mapping cone complex can vary with the de Rham cohomology class of…