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

2023/10/27 by Yinbang Lin, Lin, Yinbang, Sz-Sheng Wang +1 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Primary 14N35 #Secondary 14D20

paper · pdf · doi:10.48550/arxiv.2310.18170

openalex publication_date 2023/10/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• Remarks on GW/PT under del Pezzo transitions

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