The groupoid structure of groupoid morphisms
Category Theory
2019-08-16 v2 Differential Geometry
Symplectic Geometry
Abstract
In this paper we construct two groupoids from morphisms of groupoids, with one from a categorical viewpoint and the other from a geometric viewpoint. We show that for each pair of groupoids, the two kinds of groupoids of morphisms are equivalent. Then we study the automorphism groupoid of a groupoid.
Cite
@article{arxiv.1712.05094,
title = {The groupoid structure of groupoid morphisms},
author = {Bohui Chen and Cheng-Yong Du and Rui Wang},
journal= {arXiv preprint arXiv:1712.05094},
year = {2019}
}
Comments
28 pages; Final version, to appear in JGP; An appendix is added to discuss the topology of the morphism groupoid; Title changed