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| Main Author: | |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2109.07064 |
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| _version_ | 1866929349074092032 |
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| author | Toda, Yukinobu |
| author_facet | Toda, Yukinobu |
| contents | We prove wall-crossing formula for categorical Donaldson-Thomas invariants on the resolved conifold, which categorifies Nagao-Nakajima wall-crossing formula for numerical DT invariants on it. The categorified Hall products are used to describe the wall-crossing formula as semiorthogonal decompositions. A successive application of categorical wall-crossing formula yields semiorthogonal decompositions of categorical Pandharipande-Thomas stable pair invariants on the resolved conifold, which categorify the product expansion formula of the generating series of numerical PT invariants on it. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2109_07064 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Categorical wall-crossing formula for Donaldson-Thomas theory on the resolved conifold Toda, Yukinobu Algebraic Geometry High Energy Physics - Theory 14N35, 18G80 We prove wall-crossing formula for categorical Donaldson-Thomas invariants on the resolved conifold, which categorifies Nagao-Nakajima wall-crossing formula for numerical DT invariants on it. The categorified Hall products are used to describe the wall-crossing formula as semiorthogonal decompositions. A successive application of categorical wall-crossing formula yields semiorthogonal decompositions of categorical Pandharipande-Thomas stable pair invariants on the resolved conifold, which categorify the product expansion formula of the generating series of numerical PT invariants on it. |
| title | Categorical wall-crossing formula for Donaldson-Thomas theory on the resolved conifold |
| topic | Algebraic Geometry High Energy Physics - Theory 14N35, 18G80 |
| url | https://arxiv.org/abs/2109.07064 |