Symplectic C ∞ -algebras.

Hamilton, Alastair and Lazarev, Andrey (2008) Symplectic C ∞ -algebras. Moscow Mathematical Journal, 8 (3). ISSN 1609-3321

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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:
Journal Article
Journal or Publication Title:
Moscow Mathematical Journal
Uncontrolled Keywords:
/dk/atira/pure/researchoutput/libraryofcongress/qa
Subjects:
ID Code:
59744
Deposited By:
Deposited On:
05 Nov 2012 11:05
Refereed?:
Yes
Published?:
Published
Last Modified:
01 Sep 2020 01:35