Characteristic classes of A-infinity algebras

Simple item page
dc.creatorHamilton, Alastair
dc.creatorLazarev, Andrey
dc.date2006-08-15
dc.date.accessioned2026-07-07T07:21:49Z
dc.date.available2026-07-07T07:21:49Z
dc.descriptionA 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.
dc.identifierhttps://arxiv.org/abs/math/0608395
dc.identifierhttp://arxiv.org/abs/math/0608395
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115437
dc.subjectQuantum Algebra
dc.subjectK-Theory and Homology
dc.subject14H10, 17B56, 17B66, 81T18, 81T40
dc.titleCharacteristic classes of A-infinity algebras
dc.typetext

Files

Collections

arXiv