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arxiv: 0910.2014 · v3 · submitted 2009-10-11 · 🧮 math.AG · math.CT· math.NT· math.SG

Homological mirror symmetry of Fermat polynomials

classification 🧮 math.AG math.CTmath.NTmath.SG
keywords categoriesderivedfermathomologicalmirrorpolynomialssymmetryaspects
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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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