On The Global Quotient Structure of The Space of Twisted Stable Maps to a Quotient Stack

Dan Abramovich, Tom Graber, Martin Olsson +1

Let $\mathcal{X}$ be a tame proper Deligne-Mumford stack of the form $[M/G]$ where $M$ is a scheme and $G$ is an algebraic group. We prove that the stack $\mathcal{K}_{g,n}(\mathca…