We give some new genus-3 universal equations for Gromov-Witten invariants of compact symplectic manifolds. These equations were obtained by studying relations in the tautological ring of the moduli space of2-pointed g...We give some new genus-3 universal equations for Gromov-Witten invariants of compact symplectic manifolds. These equations were obtained by studying relations in the tautological ring of the moduli space of2-pointed genus-3 stable curves. A byproduct of our search for genus-3 equations is a new genus-2 universal equation for Gromov-Witten invariants.展开更多
基金supported by National Security Agency(Grant No.H98230-10-1-0179)the National Science Foundation of USA(Grant No.DMS-0905227)+2 种基金a Tian-Yuan Special Fund of National Natural Science Foundation of China(Grant No.11326023)Specialized Research Fund for the Doctoral Program of Ministry of Higher Education(Grant No.20120001110051)Peking University 985 Fund
文摘We give some new genus-3 universal equations for Gromov-Witten invariants of compact symplectic manifolds. These equations were obtained by studying relations in the tautological ring of the moduli space of2-pointed genus-3 stable curves. A byproduct of our search for genus-3 equations is a new genus-2 universal equation for Gromov-Witten invariants.
