Branched immersions and braids

dc.creatorVille, Marina
dc.date2007-01-28
dc.date.accessioned2026-07-07T07:43:36Z
dc.date.available2026-07-07T07:43:36Z
dc.descriptionBranch points of a real 2-surface S in a 4-manifold M generalize the branch points of complex curves in complex surfaces: for example, they can occur as singularities of minimal surfaces. We investigate such a branch point p when S is topologically embedded in M. It defines a link L(p), the components of which are closed braids with the same axis up to orientation. If S is closed without boundary, the contribution of p to the degree of the normal bundle of S in M can be computed on the link L(p) in terms of the algebraic crossing numbers of its components and on their linking numbers one with another.
dc.identifierhttps://arxiv.org/abs/math/0701816
dc.identifierhttp://arxiv.org/abs/math/0701816
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122892
dc.subjectDifferential Geometry
dc.subjectGeometric Topology
dc.subject53C42
dc.titleBranched immersions and braids
dc.typetext

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