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Elliptic Gromov-Witten Invariants And Virasoro Conjecture

Xiaobo Liu
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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.

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BibTeXRIS

Xiaobo Liu. 2000-01-31. Elliptic Gromov-Witten Invariants And Virasoro Conjecture. https://doi.org/10.1007/s002200000357

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