Mirror symmetry for Berglund-Hübsch Milnor fibers
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arXiv
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866916147758104576 |
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| author | Gammage, Benjamin |
| author_facet | Gammage, Benjamin |
| contents | We explain how to calculate the Fukaya category of the Milnor fiber of a Berglund-Hübsch invertible polynomial, mostly proving a conjecture of Yankı Lekili and Kazushi Ueda on homological mirror symmetry. As usual, we begin by calculating the "very affine" Fukaya category; afterwards, we deform it, generalizing an earlier calculation of David Nadler. The main step of our calculation may be understood as determining a certain canonical extension of a perverse schober. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2010_15570 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Mirror symmetry for Berglund-Hübsch Milnor fibers Gammage, Benjamin Symplectic Geometry Algebraic Geometry We explain how to calculate the Fukaya category of the Milnor fiber of a Berglund-Hübsch invertible polynomial, mostly proving a conjecture of Yankı Lekili and Kazushi Ueda on homological mirror symmetry. As usual, we begin by calculating the "very affine" Fukaya category; afterwards, we deform it, generalizing an earlier calculation of David Nadler. The main step of our calculation may be understood as determining a certain canonical extension of a perverse schober. |
| title | Mirror symmetry for Berglund-Hübsch Milnor fibers |
| topic | Symplectic Geometry Algebraic Geometry |
| url | https://arxiv.org/abs/2010.15570 |