Homological mirror symmetry for Rabinowitz Fukaya categories of Milnor fibers of Brieskorn-Pham singularities
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909229582909440 |
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| author | Lekili, Yanki Ueda, Kazushi |
| author_facet | Lekili, Yanki Ueda, Kazushi |
| contents | We discuss homological mirror symmetry for Rabinowitz Fukaya categories of Milnor fibers of invertible polynomials, and prove it for Brieskorn-Pham polynomials which are not of Calabi-Yau type. This allows a calculation of the Rabinowitz Floer homology of the Milnor fiber as the Hochschild homology of the dg category of equivariant matrix factorizations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_15915 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Homological mirror symmetry for Rabinowitz Fukaya categories of Milnor fibers of Brieskorn-Pham singularities Lekili, Yanki Ueda, Kazushi Algebraic Geometry Symplectic Geometry We discuss homological mirror symmetry for Rabinowitz Fukaya categories of Milnor fibers of invertible polynomials, and prove it for Brieskorn-Pham polynomials which are not of Calabi-Yau type. This allows a calculation of the Rabinowitz Floer homology of the Milnor fiber as the Hochschild homology of the dg category of equivariant matrix factorizations. |
| title | Homological mirror symmetry for Rabinowitz Fukaya categories of Milnor fibers of Brieskorn-Pham singularities |
| topic | Algebraic Geometry Symplectic Geometry |
| url | https://arxiv.org/abs/2406.15915 |