Hamilton, Alastair and Lazarev, Andrey (2008) Symplectic C ∞ -algebras. Moscow Mathematical Journal, 8 (3). ISSN 1609-3321
Full text not available from this repository.Abstract
In this paper we show that a strongly homotopy commutative (or C∞-) algebra with an invariant inner product on its cohomology can be uniquely extended to a symplectic C∞-algebra (an ∞-generalisation of a commutative Frobenius algebra introduced by Kontsevich). This result relies on the algebraic Hodge decomposition of the cyclic Hochschild cohomology of a C∞-algebra and does not generalize to algebras over other operads.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Moscow Mathematical Journal |
| Uncontrolled Keywords: | Infinity-algebra ; cyclic cohomology ; Harrison cohomology ; symplectic structure ; Hodge decomposition |
| Subjects: | Q Science > QA Mathematics |
| Departments: | Faculty of Science and Technology > Mathematics and Statistics |
| ID Code: | 59744 |
| Deposited By: | ep_importer_pure |
| Deposited On: | 05 Nov 2012 11:05 |
| Refereed?: | Yes |
| Published?: | Published |
| Last Modified: | 05 Nov 2012 11:05 |
| Identification Number: | |
| URI: | http://eprints.lancs.ac.uk/id/eprint/59744 |
Actions (login required)
| View Item |
