Infinity inner products on A-infinity algebras

dc.creatorTadler, Thomas
dc.date2008-05-31
dc.date.accessioned2026-07-07T09:42:05Z
dc.date.available2026-07-07T09:42:05Z
dc.descriptionWe give a self contained introduction to A$_\infty$-algebras, A$_\infty$-bimodules and maps between them. The case of A$_\infty$-bimodule-map between $A$ and its dual space $A^{*}$, which we call $\infty$-inner-product, will be investigated in detail. In particular, we describe the graph complex associated to $\infty$-inner-product. In a later paper, we show how $\infty$-inner-products can be used to model the string topology BV-algebra on the free loop space of a Poincaré duality space.
dc.descriptionTo be published in "Journal of Homotopy and Related Structures"
dc.identifierhttps://arxiv.org/abs/0806.0065
dc.identifierhttp://arxiv.org/abs/0806.0065
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162054
dc.subjectAlgebraic Topology
dc.titleInfinity inner products on A-infinity algebras
dc.typetext

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