Quantum BV $\mathcal{L}_{\infty}$-algebras I: Derived geometric foundations
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909686911991808 |
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| author | Cheung, Elliot |
| author_facet | Cheung, Elliot |
| contents | We introduce the concept of a quantum BV $\mathcal{L}_{\infty}$-algebra and study fundamental properties. In particular, we investigate homotopy Lie theoretic structures that naturally arise in the context of Chern-Simons theory. Of note, are the notions of homotopy BV data and of a BV orientation. The sequel of this paper will involve the direct application of these constructions to the setting of Chern-Simons theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_09438 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum BV $\mathcal{L}_{\infty}$-algebras I: Derived geometric foundations Cheung, Elliot Quantum Algebra 17B55 (Primary), 16E45, 58A50 (Secondary) We introduce the concept of a quantum BV $\mathcal{L}_{\infty}$-algebra and study fundamental properties. In particular, we investigate homotopy Lie theoretic structures that naturally arise in the context of Chern-Simons theory. Of note, are the notions of homotopy BV data and of a BV orientation. The sequel of this paper will involve the direct application of these constructions to the setting of Chern-Simons theory. |
| title | Quantum BV $\mathcal{L}_{\infty}$-algebras I: Derived geometric foundations |
| topic | Quantum Algebra 17B55 (Primary), 16E45, 58A50 (Secondary) |
| url | https://arxiv.org/abs/2507.09438 |