Symplectic $C_\infty$-algebras
| dc.creator | Hamilton, Alastair | |
| dc.creator | Lazarev, Andrey | |
| dc.date | 2007-07-26 | |
| dc.date | 2007-07-26 | |
| dc.date.accessioned | 2026-07-07T08:20:30Z | |
| dc.date.available | 2026-07-07T08:20:30Z | |
| dc.description | In this paper we show that a strongly homotopy commutative (or $C_\infty$-) algebra with an invariant inner product on its cohomology can be uniquely extended to a symplectic $C_\infty$-algebra (an $\infty$-generalisation of a commutative Frobenius algebra introduced by Kontsevich). This result relies on the algebraic Hodge decomposition of the cyclic Hochschild cohomology of a $\ci$-algebra and does not generalize to algebras over other operads. | |
| dc.description | This paper is a substantial revision of the part of math.QA/0410621 dealing with sympectic $C_\infty$-algebras. The main addition is the treatment of unital $C_\infty$-structures. 27 pages | |
| dc.identifier | https://arxiv.org/abs/0707.3951 | |
| dc.identifier | http://arxiv.org/abs/0707.3951 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/135090 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | K-Theory and Homology | |
| dc.title | Symplectic $C_\infty$-algebras | |
| dc.type | text |