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Homological mirror symmetry for singularities of type D |
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| Authors: | Masahiro Futaki Kazushi Ueda |
| Affiliation: | 1. Departement Wiskunde-Informatica, Universiteit Antwerpen, Middelheimcampus, Middelheimlaan 1, 2020, Antwerp, Belgium 2. Department of Mathematics, Graduate School of Science, Osaka University, Machikaneyama 1-1, Toyonaka, Osaka, 560-0043, Japan |
| Abstract: | We prove homological mirror symmetry for Lefschetz fibrations obtained as Sebastiani–Thom sums of polynomials of types A or D. The proof is based on the behavior of the Fukaya category under Sebastiani–Thom summation of a polynomial of type D. |
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