2001Banach Center PublicationsOpen access

Holonomy and monodromy groupoids

Ronald Brown, İlhan Içen, Osman Mucuk

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Abstract

We outline the construction of the holonomy groupoid of a locally Lie groupoid and the monodromy groupoid of a Lie groupoid. These specialize to the well known holonomy and monodromy groupoids of a foliation, when the groupoid is just an equivalence relat

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What this paper is about

We outline the construction of the holonomy groupoid of a locally Lie groupoid and the monodromy groupoid of a Lie groupoid. These specialize to the well known holonomy and monodromy groupoids of a foliation, when the groupoid is just an equivalence relat

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Available abstract

We outline the construction of the holonomy groupoid of a locally Lie groupoid and the monodromy groupoid of a Lie groupoid. These specialize to the well known holonomy and monodromy groupoids of a foliation, when the groupoid is just an equivalence relat

Key concepts: Holonomy, Monodromy, Double groupoid, Mathematics, Pure mathematics, Equivalence (formal languages), Foliation (geology), Algebra over a field

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