Blow-up formulae of high genus Gromov–Witten invariants for threefolds

Weiqiang He,Jianxun Hu,Hua-Zhong Ke,Xiaoxia Qi

Mathematische Zeitschrift（2018）

引用 4|浏览126

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摘要

Using the degeneration formula and absolute/relative correspondence, we study the change of Gromov–Witten invariants under blow-ups for smooth projective threefolds, and obtain several closed blow-up formulae for high genus Gromov–Witten invariants. Our formulae also imply some simple relations among generalized BPS numbers.

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关键词

Gromov–Witten invariant, Blow-up, Degeneration formula, Absolute/relative correspondence, Generalized BPS numbers

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