Gromov-Witten theory of Deligne-Mumford stacks
Dan Abramovich, Tom Graber, Angelo Vistoli
TL;DR
This paper develops the algebraic Gromov-Witten theory for Deligne-Mumford stacks, extending Chen-Ruan's orbifold theory with detailed algebraic constructions and computations.
Contribution
It provides a comprehensive algebraic framework for Gromov-Witten invariants of stacks, building on and elaborating Chen-Ruan's orbifold cohomology.
Findings
Formulation of algebraic Gromov-Witten invariants for stacks
Extension of Chen-Ruan's orbifold cohomology to algebraic setting
Detailed computations and examples included
Abstract
Long ago, in math.AG/0112004, we pledged more details on the algebraic version of Chen-Ruan's math.AG/0103156. This is it.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometric and Algebraic Topology · Advanced Algebra and Geometry