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Gromov-Witten theory of Deligne-Mumford stacks

Volume 130, Number 5, October 2008
pp. 1337-1398 | 10.1353/ajm.0.0017

Abstract

Abstract:

Given a smooth complex Deligne-Mumford stack ${\cal X}$ with a projective coarse moduli space, we introduce Gromov-Witten invariants of ${\cal X}$ and prove some of their basic properties, including the WDVV equation.

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