Gromov--Witten/Pandharipande--Thomas correspondence via conifold transitions
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866916857365135360 |
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| author | Lin, Yinbang Wang, Sz-Sheng |
| author_facet | Lin, Yinbang Wang, Sz-Sheng |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_18170 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Gromov--Witten/Pandharipande--Thomas correspondence via conifold transitions Lin, Yinbang Wang, Sz-Sheng Algebraic Geometry Primary 14N35, Secondary 14D20 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. |
| title | Gromov--Witten/Pandharipande--Thomas correspondence via conifold transitions |
| topic | Algebraic Geometry Primary 14N35, Secondary 14D20 |
| url | https://arxiv.org/abs/2310.18170 |