An open-closed string analogue of Hochschild cohomology
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912089647349760 |
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| author | Yuan, Hang |
| author_facet | Yuan, Hang |
| contents | We prove that every open-closed homotopy algebra, introduced by Kajiura and Stasheff (arXiv: archive/0410291), naturally gives rise to an open-closed version of Hochschild cochain complex whose cohomology admits a canonical Gerstenhaber algebra structure. We also develop the open-closed brace relations, provide a concise description of OCHAs, and establish an A-infinity structure that extends the open-closed Hochschild differential. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_20888 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An open-closed string analogue of Hochschild cohomology Yuan, Hang Quantum Algebra High Energy Physics - Theory Mathematical Physics Algebraic Topology 16E40, 81T30 We prove that every open-closed homotopy algebra, introduced by Kajiura and Stasheff (arXiv: archive/0410291), naturally gives rise to an open-closed version of Hochschild cochain complex whose cohomology admits a canonical Gerstenhaber algebra structure. We also develop the open-closed brace relations, provide a concise description of OCHAs, and establish an A-infinity structure that extends the open-closed Hochschild differential. |
| title | An open-closed string analogue of Hochschild cohomology |
| topic | Quantum Algebra High Energy Physics - Theory Mathematical Physics Algebraic Topology 16E40, 81T30 |
| url | https://arxiv.org/abs/2410.20888 |