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Published October 2008 | Version Campus-Access Only
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Gromov-Witten theory of Deligne-Mumford stacks

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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.

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Identifiers

Eprint ID
12805
Resolver ID
CaltechAUTHORS:ABRajm08

Funding

National Science Foundation
DMS-0335501
National Science Foundation
DMS-0301179
Alfred P. Sloan Foundation
Ministero dell'Università e della Ricerca (Italy)

Dates

Created
2009-02-02
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Updated
2019-10-03
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