Gromov-Witten Invariants for Abelian and Nonabelian Quotients

Details Gromov-Witten Invariants for Abelian and Nonabelian Quotients Gromov-Witten Invariants for Abelian and Nonabelian Quotients

2004-07-14

arxiv.org/abs/math/0407254v1

Mathematics

Algebraic Geometry

15 pages, no figures, LaTeX

Scientific paper

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.

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