Characteristic classes of A-infinity algebras

Details Characteristic classes of A-infinity algebras Characteristic classes of A-infinity algebras

2006-08-15

arxiv.org/abs/math/0608395v1

Mathematics

Quantum Algebra

Scientific paper

A standard combinatorial construction, due to Kontsevich, associates to any A-infinity algebra with an invariant inner product, an inhomogeneous class in the cohomology of the moduli spaces of Riemann surfaces with marked points. We describe 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.

Affiliated with

Also associated with

No associations

Rating

Characteristic classes of A-infinity algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Characteristic classes of A-infinity algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Characteristic classes of A-infinity algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-99987