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

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arxiv 2310.18170 v3 pith:E2QCS6JW submitted 2023-10-27 math.AG

classification math.AG
keywords correspondenceconifolddescendentgromov--wittenholdspandharipande--thomasprojectiveapplications
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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.

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  1. Calabi-Yau threefolds across quadratic singularities

    math.DG 2025-01 unverdicted

    This paper is a survey of the geometry of conifold transitions between Calabi-Yau threefolds, focusing on non-Kähler outputs and the structures they carry.

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