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 terms, with the full BV structure.
Derived categories and Calabi-Yau algebras
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abstract
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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Dimer Models and Hochschild Cohomology
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 terms, with the full BV structure.