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

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.

arXiv comment23 pages;v3-various typos corrected;v2-We add the reference to John Pardon's work and point out our results are not covered by his

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