Xiaobo Liu

Publications (2)0 Total impact

• Source

  Available from: ArXiv

  Article: Genus-1 Virasoro conjecture along quantum volume direction

  Xiaobo Liu
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  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.
  06/2011;
• Source

  Available from: ArXiv

  Article: 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. Comment: 40 pages, LaTex file, minor modifications, new address
  07/1999;