Homological mirror symmetry for Brieskorn-Pham singularities
Symplectic Geometry
2010-03-29 v2 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.0912.0316,
title = {Homological mirror symmetry for Brieskorn-Pham singularities},
author = {Masahiro Futaki and Kazushi Ueda},
journal= {arXiv preprint arXiv:0912.0316},
year = {2010}
}
Comments
14 pages, 5 figures, v2: improved exposition