Homotopy Inner Products for Cyclic Operads

Simple item page
dc.creatorTadler, Thomas
dc.creatorlongoni, Riccardo
dc.date2008-09-14
dc.date.accessioned2026-07-07T10:02:47Z
dc.date.available2026-07-07T10:02:47Z
dc.descriptionWe introduce the notion of homotopy inner products for any cyclic quadratic Koszul operad $\mathcal O$, generalizing the construction already known for the associative operad. This is done by defining a colored operad $\widehat{\mathcal O}$, which describes modules over $\mathcal O$ with invariant inner products. We show that $\widehat{\mathcal O}$ satisfies Koszulness and identify algebras over a resolution of $\widehat{\mathcal O}$ in terms of derivations and module maps. As an application we construct a homotopy inner product over the commutative operad on the cochains of any Poincaré duality space.
dc.descriptionTo be published in JHRS
dc.identifierhttps://arxiv.org/abs/0809.2380
dc.identifierhttp://arxiv.org/abs/0809.2380
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169096
dc.subjectAlgebraic Topology
dc.titleHomotopy Inner Products for Cyclic Operads
dc.typetext

Files

Collections

arXiv