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- W4300707051 abstract "The derived category of coherent sheaves $mathcal{T}_B$ associated to a birational cobordism which is either a weighted projective space, a stacky Atiyah flip, or a stacky blow-up of a point has a conjectural mirror Fukaya-Seidel category $mathcal{T}_A$. The potential $W$ defining $mathcal{T}_{A}$ has base $mathbb{C}^*$ and exhibits a great deal of symmetry. This paper investigates the structure of the Fukaya-Seidel category for the mirror potentials. A proof of homological mirror symmetry $mathcal{T}_A cong mathcal{T}_B$ for these birational cobordisms is then given." @default.
- W4300707051 created "2022-10-04" @default.
- W4300707051 creator A5058681619 @default.
- W4300707051 date "2016-03-26" @default.
- W4300707051 modified "2023-09-23" @default.
- W4300707051 title "Homological mirror symmetry of elementary birational cobordisms" @default.
- W4300707051 doi "https://doi.org/10.48550/arxiv.1603.08074" @default.
- W4300707051 hasPublicationYear "2016" @default.
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