Elliptic Gromov-Witten Invariants And Virasoro Conjecture
Algebraic Geometry
2009-10-31 v3 High Energy Physics - Theory
Mathematical Physics
Differential Geometry
math.MP
Abstract
The Virasoro conjecture proposed by Eguchi-Hori-Xiong and S. Katz predicts that the generating function of Gromov-Witten invariants is annihilated by infinitely many differential operators which form a half branch of the Virasoro algebra. In this paper, we study the genus-1 case of the conjecture. In particular, we will give some necessary and sufficient conditions for the genus-1 Virasoro conjecture.
Cite
@article{arxiv.math/9907113,
title = {Elliptic Gromov-Witten Invariants And Virasoro Conjecture},
author = {Xiaobo Liu},
journal= {arXiv preprint arXiv:math/9907113},
year = {2009}
}
Comments
40 pages, LaTex file, minor modifications, new address