Fiber products, Poincare duality and A_\infty-ring spectra

Simple item page
dc.creatorKlein, John R.
dc.date2003-06-24
dc.date.accessioned2026-07-07T04:59:09Z
dc.date.available2026-07-07T04:59:09Z
dc.descriptionFor a Poincare duality space X and a map X -> B, consider the homotopy fiber product X x^B X. If X is orientable with respect to a multiplicative cohomology theory E, then, after suitably regrading, it is shown that the E-homology of X x^B X has the structure of a graded associative algebra. When X -> B is the diagonal map of a manifold X, one recovers a result of Chas and Sullivan about the homology of the free loop space LX.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0306350
dc.identifierhttp://arxiv.org/abs/math/0306350
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67869
dc.subjectAlgebraic Topology
dc.subjectGeometric Topology
dc.subject55N91;57R19 (Primary) 55P10;55B20 (Secondary)
dc.titleFiber products, Poincare duality and A_\infty-ring spectra
dc.typetext

Files

Collections

arXiv