Splitting along a submanifold pair

Simple item page
dc.creatorJimenez, R.
dc.creatorMuranov, Yu. V.
dc.creatorRepovš, D.
dc.date2006-08-29
dc.date.accessioned2026-07-07T10:07:54Z
dc.date.available2026-07-07T10:07:54Z
dc.descriptionThe paper introduces a group $LSP$ of obstructions for splitting a homotopy equivalence along a pair of submanifolds. We develop exact sequences relating the $LSP$-groups with various surgery obstruction groups for manifold triple and structure sets arising from triples of manifolds. The natural map from the surgery obstruction group of the ambient manifold to the $LSP$-group provides an invariant when elements of the Wall group are not realized by normal maps of closed manifolds. Some $LSP$-groups are computed precisely.
dc.descriptionK-theory, to appear
dc.identifierhttps://arxiv.org/abs/math/0608730
dc.identifierhttp://arxiv.org/abs/math/0608730
dc.identifierJournal of K-Theory 2 (2008), 385-404.
dc.identifierdoi:10.1017/is008001011jkt031
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170809
dc.subjectGeometric Topology
dc.subjectAlgebraic Topology
dc.subject57R67; 19J25; 57Q10; 19G24; 18F25
dc.titleSplitting along a submanifold pair
dc.typetext

Files

Collections

arXiv