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Singular Hochschild Cohomology and Gerstenhaber Algebra Structure | Zhengfang Wang
; | Date: |
2 Aug 2015 | Abstract: | In this paper, we define the singular Hochschild cohomology groups
$HH_{sg}^i(A, A)$ of an associative $k$-algebra $A$ as morphisms from $A$ to
$A[i]$ in the singular category $D_{sg}(Aotimes_k A^{op})$ for $iin
mathbb{Z}$. We prove that $HH_{sg}^*(A, A)$ has a Gerstenhaber algebra
structure and in the case of a symmetric algebra $A$, $HH_{sg}^*(A, A)$ is a
Batalin-Vilkovisky (BV) algebra. | Source: | arXiv, 1508.0190 | Services: | Forum | Review | PDF | Favorites |
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