On the quotient of a groupoid by an action of a 2-group
Published: Apr 30, 2025
Last Updated: Apr 30, 2025
Authors:Vladimir Drinfeld
Abstract
If X is a groupoid equipped with an action of a 2-group G then one has a 2-groupoid X/G. We describe the fibers of the functor from X/G to the 1-groupoid $\pi_0(X)/\pi_0(G)$. We also give an explicit model for X/G in a certain situation.