Gromov-Witten Invariants for Abelian and Nonabelian Quotients
Algebraic Geometry
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0407254,
title = {Gromov-Witten Invariants for Abelian and Nonabelian Quotients},
author = {Aaron Bertram and Ionut Ciocan-Fontanine and Bumsig Kim},
journal= {arXiv preprint arXiv:math/0407254},
year = {2007}
}
Comments
15 pages, no figures, LaTeX