# Quotients on the Holonomy Groupoid of a Singular Foliation

## Alfonso Garmendia

created by lapastina on 09 Aug 2019

11 sep 2019 -- 10:30

Università degli Studi di Salerno - Dipartimento di Matematica, stanza F/6

Abstract.

For certain maps π between foliated manifolds it is induced a morphism of their holonomy groupoids. The objective of this talk is to prove properties of this assignment when π satisfies a surjectivity property, and thus can be regarded as quotient map. We will discuss certain examples where π can be seen as a quotient map of a Lie 2-group actions on the holonomy groupoid.

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