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math.DG2011
Genus-1 Virasoro conjecture along quantum volume direction
Xiaobo Liu
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 projec…
math.DG2011
Topological Recursion Relations on
Takashi Kimura, Xiaobo Liu
In this paper, we give some new genus-3 universal equations for Gromov-Witten invariants of compact symplectic manifolds. These equations were obtained by studying new relations in…