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 invariance of the cap product in Hochschild theory
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We prove derived invariance of the cap product for associative algebras projective over a commutative ring.
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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.