Very twisted stable maps
Communications in Analysis and Geometry, Volume 18, Number 4. (2010)
Let X be a smooth projective Deligne-Mumford stack over an algebraically closed
field k of characteristic 0. In this paper we construct the moduli stack of
very twisted stable maps, extending the notion of twisted stable maps by
Abramovich and Vistoli to allow for generic stabilizers on the source curves.
We also consider the Gromov-Witten theory given by this construction.