Surfaces in 4-manifolds and the surgery conjecture

dc.creatorKrushkal, Vyacheslav
dc.date2005-05-18
dc.date.accessioned2026-07-07T05:20:01Z
dc.date.available2026-07-07T05:20:01Z
dc.descriptionWe give a survey of geometric approaches to the topological 4-dimensional surgery and 5-dimensional s-cobordism conjectures, with a focus on the study of surfaces in 4-manifolds. The geometric lemma underlying these conjectures is a statement about smooth immersions of disks and of certain 2-complexes, capped gropes, in a 4-manifold. We also mention a reformulation in terms of the A,B-slice problem, and the relation of this question to recent developments in the study of the classical knot concordance group.
dc.descriptionTo appear in proceedings of the Fields Institute/McMaster Conference on Geometry and Topology of Manifolds
dc.identifierhttps://arxiv.org/abs/math/0505395
dc.identifierhttp://arxiv.org/abs/math/0505395
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75239
dc.subjectGeometric Topology
dc.titleSurfaces in 4-manifolds and the surgery conjecture
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