Can I read Symplectic $C_\infty$-algebras on EtoBox?

Symplectic $C_\infty$-algebras by Hamilton, Alastair; Lazarev, Andrey is a scholarly article available to read on EtoBox.

What is Symplectic $C_\infty$-algebras about?

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.

Author

Hamilton, Alastair; Lazarev, Andrey

Published

2007

Language

EN