Elliptic Gromov-Witten Invariants And Virasoro Conjecture

Details Elliptic Gromov-Witten Invariants And Virasoro Conjecture Elliptic Gromov-Witten Invariants And Virasoro Conjecture

1999-07-18

arxiv.org/abs/math/9907113v3

Commun.Math.Phys. 216 (2001) 705-728

Mathematics

Algebraic Geometry

40 pages, LaTex file, minor modifications, new address

Scientific paper

10.1007/s002200000357

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.

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