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Derived categories and Calabi-Yau algebras

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arxiv 1711.08574 v2 pith:SQGCMBLE submitted 2017-11-23 math.RA

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keywords calabi-yauderivedalgebrasequivalencealgebracategoriesequivalentkeywords
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We study the derived equivalence of Calabi-Yau algebras and show that, for two derived Morita equivalent algebras, if one is Calabi-Yau, then so is the other. Keywords: Derived equivalence, Calabi-Yau algebra

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  1. Dimer Models and Hochschild Cohomology

    math.RA 2019-08 accept novelty 7.0 of 10

    For zigzag consistent dimers on a torus, the Hochschild cohomology of the Jacobi algebra and the compactly supported Hochschild cohomology of the matrix factorization category are computed in explicit combinatorial te...

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