Homology of spaces of regular loops in the sphere

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dc.creatorChataur, David
dc.creatorBorgne, Jean-Francois Le
dc.date2008-11-20
dc.date2009-03-27
dc.date.accessioned2026-07-07T12:56:47Z
dc.date.available2026-07-07T12:56:47Z
dc.descriptionIn this paper we compute the singular homology of the space of immersions of the circle into the $n$-sphere. Equipped with Chas-Sullivan's loop product these homology groups are graded commutative algebras, we also compute these algebras. We enrich Morse spectral sequences for fibrations of free loop spaces together with loop products, this offers some new computational tools for string topology.
dc.description32 pages, 12 figures
dc.identifierhttps://arxiv.org/abs/0811.3319
dc.identifierhttp://arxiv.org/abs/0811.3319
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224706
dc.subjectAlgebraic Topology
dc.subjectGeometric Topology
dc.subject55T05, 55T10, 55N45, 57R19, 57R42, 57R70, 53C22
dc.titleHomology of spaces of regular loops in the sphere
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