Cyclic $BV_\infty$ algebra and Frobenius manifold
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914154791567360 |
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| author | Hao, Wen |
| author_facet | Hao, Wen |
| contents | We describe the construction of Frobenius manifold out of a cyclic (commutative) $BV_\infty$ algebra $(A,Δ)$ under the assumption of a Hodge-to-de Rham degeneration property and the existence of a compatible homotopy retract of $A$ onto its cohomology. We then apply it to Jacobi manifolds and Hermitian manifolds, generalizing known results in literature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_18325 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cyclic $BV_\infty$ algebra and Frobenius manifold Hao, Wen Mathematical Physics Algebraic Topology Quantum Algebra We describe the construction of Frobenius manifold out of a cyclic (commutative) $BV_\infty$ algebra $(A,Δ)$ under the assumption of a Hodge-to-de Rham degeneration property and the existence of a compatible homotopy retract of $A$ onto its cohomology. We then apply it to Jacobi manifolds and Hermitian manifolds, generalizing known results in literature. |
| title | Cyclic $BV_\infty$ algebra and Frobenius manifold |
| topic | Mathematical Physics Algebraic Topology Quantum Algebra |
| url | https://arxiv.org/abs/2412.18325 |