摘要
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.
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.
基金
supported by National Security Agency(Grant No.H98230-10-1-0179)
the National Science Foundation of USA(Grant No.DMS-0905227)
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
