The Abelian/Nonabelian Correspondence and Frobenius Manifolds
Algebraic Geometry
2011-01-04 v1
Abstract
We propose an approach via Frobenius manifolds to the study (began in math.AG/0407254) of the relation between rational Gromov-Witten invariants of nonabelian quotients X//G and those of the corresponding ``abelianized'' quotients X//T, for T a maximal torus in G. The ensuing conjecture expresses the Gromov-Witten potential of X//G in terms of the potential of X//T. We prove this conjecture when the nonabelian quotients are partial flag manifolds.
Keywords
Cite
@article{arxiv.math/0610265,
title = {The Abelian/Nonabelian Correspondence and Frobenius Manifolds},
author = {Ionut Ciocan-Fontanine and Bumsig Kim and Claude Sabbah},
journal= {arXiv preprint arXiv:math/0610265},
year = {2011}
}
Comments
35 pages, no figures