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math.AGMar 1, 2006
21
citations (OpenAlex)
authors
  • Dan Abramovich
  • Tom Graber
  • Angelo Vistoli
arXiv abstractPDF
paper

Gromov-Witten theory of Deligne-Mumford stacks

arXiv:math/0603151

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.

arXiv comment59 pages, 9 sections, 3 appendices and one figure. Several minor improvements

References in corpus (1)

  • Topological Orbifold Models and Quantum Cohomology Rings

Cited by in corpus (14)

  • Computing Genus-Zero Twisted Gromov-Witten Invariants
  • Grothendieck Duality for Deligne-Mumford Stacks
  • Crepant resolution conjecture in all genera for type A singularities
  • On computations of Hurwitz-Hodge integrals
  • On the mathematics and physics of high genus invariants of [C^3/Z_3]
  • The Quantum Orbifold Cohomology of Weighted Projective Spaces
  • Chen-Ruan cohomology of M_{1,n} and \bar{M}_{1,n}
  • A hyperelliptic Hodge integral
  • The genus zero Gromov-Witten invariants of [Sym^2 P^2]
  • Evaluating tautological classes using only Hurwitz numbers
  • A representation-valued relative Riemann-Hurwitz theorem and the Hurwitz-Hodge bundle
  • On the Crepant Resolution Conjecture for Gromov-Witten Gravitational Ancestors in All Genera for Surface Singularities
  • Counting the hyperplane sections with fixed invariants of a plane quintic
  • The Quantum McKay Correspondence for Singularities of type D
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