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arXiv · 2611.08825

Differentiation of tepui groupoids and the holonomy groupoid of singular foliations

Alfonso Garmendia·David Miyamoto·Leonid Ryvkin
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Abstract

Tepui groupoids are a generalization of Lie groupoids which allow the arrow space to be singular, as is the case for holonomy groupoids of singular foliations. We construct a Lie differentiation functor for a large class of tepui groupoids. When restricted to effective and source-connected tepui groupoids, this differentiation recovers the correspondence between holonomy groupoids and their underlying singular foliations.

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Alfonso Garmendia, David Miyamoto, Leonid Ryvkin. 2026-11-06. Differentiation of tepui groupoids and the holonomy groupoid of singular foliations. https://arxiv.org/abs/2611.08825

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