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Homological mirror symmetry for singularities of type D

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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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Authors and Affiliations

  1. Departement Wiskunde-Informatica, Universiteit Antwerpen, Middelheimcampus, Middelheimlaan 1, 2020, Antwerp, Belgium

    Masahiro Futaki

  2. Department of Mathematics, Graduate School of Science, Osaka University, Machikaneyama 1-1, Toyonaka, Osaka, 560-0043, Japan

    Kazushi Ueda

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  1. Masahiro Futaki
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  2. Kazushi Ueda
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Correspondence to Kazushi Ueda.

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Futaki, M., Ueda, K. Homological mirror symmetry for singularities of type D. Math. Z. 273, 633–652 (2013). https://doi.org/10.1007/s00209-012-1024-x

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  • DOI: https://doi.org/10.1007/s00209-012-1024-x

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