Homological mirror symmetry for Brieskorn-Pham singularities
Homological mirror symmetry for Brieskorn-Pham singularities
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DOI：
10.1007/s00029-010-0055-6
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发表时间：
2011-06-01
影响因子：
1.4
通讯作者：
Ueda, Kazushi
中科院分区：
文献类型：
--
作者：
Futaki, Masahiro;Ueda, Kazushi
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.
