Gromov-Witten Invariants for Abelian and Nonabelian Quotients

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We make precise conjectures relating the genus zero Gromov-Witten theory of a nonabelian GIT quotient X//G to that of the associated abelian quotient X//T by a maximal torus T in G.These conjectures imply in particular closed formulas for the J-functions (that is, the generating functions for 1-point Gromov-Witten invariants) of all generalized flag manifolds of classical A, B, C and D types. These formulas are proved in the second part of the paper.
15 pages, no figures, LaTeX

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Algebraic Geometry, 14N35, 14M15

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http://salesiana.dossiersoluciones.com/handle/123456789/71893

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0407254
 http://arxiv.org/abs/math/0407254

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arXiv