DT-GV correspondence on the Mukai-Umemura variety
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866912947327991808 |
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| author | Chung, Kiryong Won, Joonyeong |
| author_facet | Chung, Kiryong Won, Joonyeong |
| contents | We compute Donaldson-Thomas(DT) invariants and their descendant invariants for the local Calabi-Yau 4-fold over the Mukai-Umemura variety via several localization formulas. Assuming that the genus-one Gopakumar-Vafa(GV) type invariants vanish, our computations verify the predictions of Cao, Maulik, and Toda. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_05823 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | DT-GV correspondence on the Mukai-Umemura variety Chung, Kiryong Won, Joonyeong Algebraic Geometry 14N35, 14C15, 14C35, 14J45 We compute Donaldson-Thomas(DT) invariants and their descendant invariants for the local Calabi-Yau 4-fold over the Mukai-Umemura variety via several localization formulas. Assuming that the genus-one Gopakumar-Vafa(GV) type invariants vanish, our computations verify the predictions of Cao, Maulik, and Toda. |
| title | DT-GV correspondence on the Mukai-Umemura variety |
| topic | Algebraic Geometry 14N35, 14C15, 14C35, 14J45 |
| url | https://arxiv.org/abs/2603.05823 |