Cobordism category of plumbed 3-manifolds and intersection product structures

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dc.creatorFukumoto, Yoshihiro
dc.date2009-01-26
dc.date.accessioned2026-07-07T12:34:29Z
dc.date.available2026-07-07T12:34:29Z
dc.descriptionIn this paper, we introduce a category of graded commutative rings with certain algebraic morphisms, to investigate the cobordism category of plumbed 3-manifolds. In particular, we define a non-associative distributive algebra that gives necessary conditions for an abstract morphism between the homologies of two plumbed 3-manifolds to be realized geometrically by a cobordism. Here we also consider the homology cobordism monoid, and give a necessary condition using w-invariants for the homology 3-spheres to belong to the inertia group associated to some homology 3-spheres.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/0901.3941
dc.identifierhttp://arxiv.org/abs/0901.3941
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217450
dc.subjectGeometric Topology
dc.subjectAlgebraic Topology
dc.subject57Q20; 55N45; 16E40;
dc.titleCobordism category of plumbed 3-manifolds and intersection product structures
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