On the quotient of a groupoid by an action of a 2-group

Vladimir Drinfeld

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 $\ddot{I}{€}_0(X)/\ddot{I}{€}_0(G)$. We also…