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|Title:||Characteristic Classes of A∞-Algebras.|
|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.|
|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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