Publications (2)0 Total impact
ABSTRACT: In this paper, we show that the derivative of the genus-1 Virasoro conjecture
for Gromov-Witten invariants along the direction of quantum volume element
holds for all smooth projective varieties. This result provides new evidence
for the Virasoro conjecture.
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. Comment: 40 pages, LaTex file, minor modifications, new address