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Published October 2008 | public
Journal Article

Gromov-Witten theory of Deligne-Mumford stacks

Abstract

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

Additional Information

© 2008 Johns Hopkins University Press. Manuscript received June 28, 2006; revised March 11, 2008. Research of the first author supported in part by NSF grant DMS-0335501; research of the second author supported in part by NSF grant DMS-0301179 and an Alfred P. Sloan research fellowship; research of the third author supported in part by the PRIN Project "Geometria sulle varieta algebriche", financed by MIUR.

Additional details

Created:
August 22, 2023
Modified:
October 17, 2023