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Extracting Gromov-Witten invariants of a conifold from semi-stable reduction and relative GW invariants of pairs

Chien-Hao Liu·Shing-Tung Yau
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Abstract

The study of open/closed string duality and large $N$ duality suggests a Gromov-Witten theory for conifolds that sits on the border of both a closed Gromov-Witten theory and an open Gromov-Witten theory. In this work we employ the result of Jun Li on Gromov-Witten theory for a projective singular variety of the gluing form $Y_1\cup_D Y_2$ to extract Gromov-Witten invariants of a conifold.

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Chien-Hao Liu, Shing-Tung Yau. 2004-11-28. Extracting Gromov-Witten invariants of a conifold from semi-stable reduction and relative GW invariants of pairs. https://arxiv.org/abs/math/0411038

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