论文标题

为当地的真实Gromov-Witten不变的分裂公式

Splitting formulas for the local real Gromov-Witten invariants

论文作者

Georgieva, Penka, Ionel, Eleny-Nicoleta

论文摘要

由3倍的Gopakumar-Vafa猜想的真实版本的动机,作者在[GI]中引入了与真实曲线相关的本地真实Gromov-Witten不变性的概念。本文致力于在目标退化下为这些不变的分裂公式的证明。它在[GI]中用于表明不变性产生了二维Klein TQFT,并证明了真实的Gopakumar-Vafa猜想的本地版本。

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 associated to local 3-folds over Real curves. 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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