Two Proofs of a Conjecture of Hori and Vafa
Algebraic Geometry
2007-05-23 v1 High Energy Physics - Theory
Abstract
We give two proofs of a conjecture of Hori and Vafa which expresses the J-function (i.e, the generating function for 1-point descendant Gromov-Witten invariants) of a Grassmannian in terms of the J-function of a product of projective spaces. Similar relations are obtained for two-point descendants, and three-point (primary) Gromov-Witten invariants. As an application we prove Givental's "R-Conjecture" - hence the Virasoro conjecture - for Grassmannians.
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Cite
@article{arxiv.math/0304403,
title = {Two Proofs of a Conjecture of Hori and Vafa},
author = {Aaron Bertram and Ionut Ciocan-Fontanine and Bumsig Kim},
journal= {arXiv preprint arXiv:math/0304403},
year = {2007}
}
Comments
34 pages, no figures