摘要
Using the degeneration formula,we study the change of Gromov-Witten invariants under blow-up for symplectic 4-manifolds and obtain a genus-decreasing relation of Gromov-Witten invariant of symplectic four manifold under blow-up.
基金
National Natural Science Foundation of China(Grant Nos.11831017,11890662,11771460,11521101)
China Scholarship Council(No.201706380109).