CaltechAUTHORS
  A Caltech Library Service

Gromov-Witten theory of Deligne-Mumford stacks

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. https://resolver.caltech.edu/CaltechAUTHORS:ABRajm08

[img] PDF
Restricted to Caltech community only
See Usage Policy.

671kB

Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:ABRajm08

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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://muse.jhu.edu/journals/american_journal_of_mathematics/toc/ajm.130.5.htmlPublisherUNSPECIFIED
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.
Funders:
Funding AgencyGrant Number
National Science FoundationDMS-0335501
National Science FoundationDMS-0301179
Alfred P. Sloan FoundationUNSPECIFIED
Ministero dell'Università e della Ricerca (Italy)UNSPECIFIED
Subject Keywords:INTERSECTION THEORY; ALGEBRAIC STACKS; ARTIN STACKS; STABLE MAPS; INVARIANTS; COHOMOLOGY; VARIETIES; CURVES; COVERS; SPACE
Issue or Number:5
Record Number:CaltechAUTHORS:ABRajm08
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:ABRajm08
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:03 Oct 2019 00:32

Repository Staff Only: item control page