Please use this identifier to cite or link to this item: http://hdl.handle.net/2381/4502
Title: Characteristic Classes of A∞-Algebras.
Authors: Hamilton, Alastair
Lazarev, Andrey
First Published: 2009
Publisher: International Press
Citation: To be published in the Journal of Homotopy and Related Structures, 2009.
Abstract: A standard combinatorial construction, due to Kontsevich, associates to any A∞- algebra with an invariant inner product, an inhomogeneous class in the cohomology of the moduli spaces of Riemann surfaces with marked points. We propose an alternative version of this construction based on noncommutative geometry and use it to prove that homotopy equivalent algebras give rise to the same cohomology classes. Along the way we re-prove Kontsevich’s theorem relating graph homology to the homology of certain infinite-dimensional Lie algebras. An application to topological conformal field theories is given.
ISSN: 1512-2891
Links: http://www.ii.uj.edu.pl/EMIS/journals/JHRS/about.htm
http://hdl.handle.net/2381/4502
Type: Article
Description: This is the author's final draft of a paper to be published in the Journal of Homotopy and Related Structures, 2009. Details of this journal can be found at http://www.ii.uj.edu.pl/EMIS/journals/JHRS/about.htm
Appears in Collections:Published Articles, Dept. of Mathematics

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