Gromov–Witten/Pandharipande–Thomas correspondence via conifold transitions

Lin, Yinbang; Wang, Sz-Sheng

doi:10.1090/tran/9387

Gromov–Witten/Pandharipande–Thomas correspondence via conifold transitions
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by Yinbang Lin and Sz-Sheng Wang;

Trans. Amer. Math. Soc.

DOI: https://doi.org/10.1090/tran/9387

Published electronically: January 30, 2025

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Abstract:

Given a projective conifold transition of smooth projective threefolds from $X$ to $Y$, we show that if the Gromov–Witten/Pandharipande–Thomas descendent correspondence holds for the resolution $Y$, then it also holds for the smoothing $X$ with stationary descendent insertions. As applications, we show the correspondence in new cases, especially for Fano threefolds.

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