Homological mirror symmetry of Fermat polynomials

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

We discuss homological mirror symmetry of Fermat polynomials in terms of
derived Morita equivalence between derived categories of coherent sheaves and
Fukaya-Seidel categories (a.k.a. perfect derived categories of directed Fukaya
categories), and some related aspects such as stability conditions, (kinds of)
modular forms, and Hochschild homologies.

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