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

Yinbang Lin; Sz-Sheng Wang

doi:10.1090/tran/9387

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

Algebraic Geometry 2025-07-24 v3

Authors: Yinbang Lin , Sz-Sheng Wang

View on arXiv ↗ PDF ↗ DOI ↗

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.

Keywords

Gromov-Witten theory Pandharipande-Thomas theory conifold transition descendent correspondence projective threefolds

Cite

@article{arxiv.2310.18170,
  title  = {Gromov--Witten/Pandharipande--Thomas correspondence via conifold transitions},
  author = {Yinbang Lin and Sz-Sheng Wang},
  journal= {arXiv preprint arXiv:2310.18170},
  year   = {2025}
}

Comments

23 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

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

Abstract

Keywords

Cite

Comments

Related papers