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arXiv · 0912.0316

Homological mirror symmetry for Brieskorn-Pham singularities

Masahiro Futaki·Kazushi Ueda
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Abstract

We prove that the derived Fukaya category of the Lefschetz fibration defined by a Brieskorn-Pham polynomial is equivalent to the triangulated category of singularities associated with the same polynomial together with a grading by an abelian group of rank one. Symplectic Picard-Lefschetz theory developed by Seidel is an essential ingredient of the proof.

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Masahiro Futaki, Kazushi Ueda. 2010-03-26. Homological mirror symmetry for Brieskorn-Pham singularities. https://arxiv.org/abs/0912.0316

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