Genus-decreasing relation of Gromov-Witten invariants for surfaces under blow-up  

作　　者：Xiliang WANG 

机构地区：[1]Department of Mathematics,Sun Yat-Sen University,Guangzhou 510275,China

出　　处：《Frontiers of Mathematics in China》2021年第4期1075-1087,共13页中国高等学校学术文摘·数学（英文）

基　　金：National Natural Science Foundation of China(Grant Nos.11831017,11890662,11771460,11521101);China Scholarship Council(No.201706380109).

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.

关 键 词：Gromov-Witten invariant BLOW-UP degeneration formula 

分 类 号：O17[理学—数学]