Abramovich, Dan and Graber, Tom and Vistoli, Angelo (2008) Gromov-Witten theory of Deligne-Mumford stacks. American Journal of Mathematics, 130 (5). pp. 1337-1398. ISSN 0002-9327 http://resolver.caltech.edu/CaltechAUTHORS:ABRajm08
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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.
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| 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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| Subject Keywords: | INTERSECTION THEORY; ALGEBRAIC STACKS; ARTIN STACKS; STABLE MAPS; INVARIANTS; COHOMOLOGY; VARIETIES; CURVES; COVERS; SPACE | ||||||||||
| Record Number: | CaltechAUTHORS:ABRajm08 | ||||||||||
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:ABRajm08 | ||||||||||
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| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||
| ID Code: | 12805 | ||||||||||
| Collection: | CaltechAUTHORS | ||||||||||
| Deposited By: | Ruth Sustaita | ||||||||||
| Deposited On: | 02 Feb 2009 23:36 | ||||||||||
| Last Modified: | 26 Dec 2012 10:40 |
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