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On the geometry of orbifold Gromov-Witten invariants

Published 27 Mar 2017 in math.AG | (1703.08918v1)

Abstract: We consider the question of how geometric structures of a Deligne-Mumford stack affect its Gromov-Witten invariants. The two geometric structures studied here are {\em gerbes} and {\em root constructions}. In both cases, we explain conjectures on Gromov-Witten theory for these stacks and survey some recent progress on these conjectures.

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