Holonomy and monodromy groupoids
Ronald Brown, Ilhan Icen, Osman Mucuk
TL;DR
This paper discusses the construction of holonomy and monodromy groupoids for locally Lie groupoids, generalizing classical concepts from foliation theory to broader groupoid contexts.
Contribution
It introduces a unified construction of holonomy and monodromy groupoids for locally Lie groupoids, extending their classical definitions.
Findings
Constructed holonomy groupoid for locally Lie groupoids
Constructed monodromy groupoid for Lie groupoids
Generalized classical foliation groupoids to broader contexts
Abstract
We outline the construction of the holonomy groupoid of a locally Lie groupoid and the monodromy groupoid of a Lie groupoid. These specialise to the well known holonomy and monodromy groupoids of a foliation, when the groupoid is just an equivalence relation.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Geometric and Algebraic Topology