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

doi:10.1007/s11464-021-0959-9

Front. Math. China

2021, Vol. 16

Issue (4) : 1075-1087 https://doi.org/10.1007/s11464-021-0959-9

RESEARCH ARTICLE

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

Xiliang WANG(

)

Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, China

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Abstract

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.

Keywords Gromov-Witten invariant blow-up degeneration formula

Corresponding Author(s): Xiliang WANG

Issue Date: 11 October 2021

Cite this article:

Xiliang WANG. Genus-decreasing relation of Gromov-Witten invariants for surfaces under blow-up[J]. Front. Math. China, 2021, 16(4): 1075-1087.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-021-0959-9
https://academic.hep.com.cn/fmc/EN/Y2021/V16/I4/1075

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