BV structure on the Hochschild cohomology of twisted tensor products
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918076325298176 |
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| author | Antrobus, Matthew |
| author_facet | Antrobus, Matthew |
| contents | Given two Frobenius algebras, we describe the BV operator on the Hochschild cohomology of their tensor product twisted by a bicharacter in terms of twisted BV operators on summands of the Hochschild cohomology described by Briggs and Witherspoon. This specialises to the case of non-twisted tensor products, and in doing so generalises a result of Le and Zhou. This allows us to simplify calculations in the literature significantly. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_23911 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | BV structure on the Hochschild cohomology of twisted tensor products Antrobus, Matthew Rings and Algebras K-Theory and Homology Given two Frobenius algebras, we describe the BV operator on the Hochschild cohomology of their tensor product twisted by a bicharacter in terms of twisted BV operators on summands of the Hochschild cohomology described by Briggs and Witherspoon. This specialises to the case of non-twisted tensor products, and in doing so generalises a result of Le and Zhou. This allows us to simplify calculations in the literature significantly. |
| title | BV structure on the Hochschild cohomology of twisted tensor products |
| topic | Rings and Algebras K-Theory and Homology |
| url | https://arxiv.org/abs/2506.23911 |