Gromov-Witten Theory of Deligne-Mumford Stacks

Gromov-Witten Theory of Deligne-Mumford Stacks

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

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Veröffentlicht in:American journal of mathematics 2008-10, Vol.130 (5), p.1337-1398
Hauptverfasser: Abramovich, Dan, Graber, Tom, Vistoli, Angelo
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Automorphisms
Exact sciences and technology
Functors
General mathematics
General, history and biography
Geometry
Homomorphisms
Inertia
Mathematical rings
Mathematics
Morphisms
Quotients
Sciences and techniques of general use
Spatial points
Theorems
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Beschreibung
Zusammenfassung:Given a smooth complex Deligne-Mumford stack χ with a projective coarse moduli space, we introduce Gromov-Witten invariants of χ and prove some of their basic properties, including the WDVV equation.
ISSN:0002-9327
1080-6377
1080-6377
DOI:10.1353/ajm.0.0017