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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.DG2023
On the integrability of Lie algebroids by diffeological spaces
Joel Villatoro
Lie's third theorem does not hold for Lie groupoids and Lie algebroids. In this article, we show that Lie's third theorem is valid within a specific class of diffeological groupoid…