Holomorphic Floer theory and Donaldson-Thomas invariants
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arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866914059368005632 |
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| author | Bousseau, Pierrick |
| author_facet | Bousseau, Pierrick |
| contents | We present several expected properties of the holomorphic Floer theory of a holomorphic symplectic manifold. In particular, we propose a conjecture relating holomorphic Floer theory of Hitchin integrable systems and Donaldson-Thomas invariants of non-compact Calabi-Yau 3-folds. More generally, we conjecture that the BPS spectrum of a 4-dimensional $\mathcal{N}=2$ quantum field theory can be recovered from the holomorphic Floer theory of the corresponding Seiberg-Witten integrable system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_17001 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Holomorphic Floer theory and Donaldson-Thomas invariants Bousseau, Pierrick Symplectic Geometry High Energy Physics - Theory Algebraic Geometry We present several expected properties of the holomorphic Floer theory of a holomorphic symplectic manifold. In particular, we propose a conjecture relating holomorphic Floer theory of Hitchin integrable systems and Donaldson-Thomas invariants of non-compact Calabi-Yau 3-folds. More generally, we conjecture that the BPS spectrum of a 4-dimensional $\mathcal{N}=2$ quantum field theory can be recovered from the holomorphic Floer theory of the corresponding Seiberg-Witten integrable system. |
| title | Holomorphic Floer theory and Donaldson-Thomas invariants |
| topic | Symplectic Geometry High Energy Physics - Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2210.17001 |