Gromov--Witten/Pandharipande--Thomas correspondence via conifold transitions

Published 27 Oct 2023 in math.AG | (2310.18170v2)

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.

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