Genus-1 Virasoro conjecture along quantum volume direction
  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. 
Xiaobo Liu
math.DG math-ph math.AG math.MP