局部实数Gromov-Witten不变量的分裂公式

Pub Date : 2020-05-12 DOI:10.4310/jsg.2022.v20.n3.a2

Penka V. Georgieva, Eleny-Nicoleta Ionel

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引用次数: 2

摘要

受3-fold的Gopakumar-Vafa猜想的实版本的启发，作者在[GI]中引入了局部实Gromov-Witten不变量的概念。本文致力于证明这些不变量在目标退化下的分裂公式。在[GI]中使用它来证明不变量产生二维Klein TQFT，并证明实Gopakumar-Vafa猜想的局部版本。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Splitting formulas for the local real Gromov–Witten invariants

Motivated by the real version of the Gopakumar-Vafa conjecture for 3-folds, the authors introduced in [GI] the notion of local real Gromov-Witten invariants. This article is devoted to the proof of a splitting formula for these invariants under target degenerations. It is used in [GI] to show that the invariants give rise to a 2-dimensional Klein TQFT and to prove the local version of the real Gopakumar-Vafa conjecture.

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