Studying surfaces via closed braids

dc.creatorBirman, Joan S.
dc.creatorFinkelstein, Elizabeth
dc.date1998-04-06
dc.date.accessioned2026-07-07T05:24:19Z
dc.date.available2026-07-07T05:24:19Z
dc.descriptionThis is a review article on the Bennequin-Birman-Menasco machinery for studying embedded incompressible surfaces in 3-space via their `braid foliations'. Two cases are investigated: case (1) The surface has non-empty boundary; the boundary is a knot or link which is represented as a closed braid, Case (2) The surface is closed, but it lies in the complement of a knot or link which is represented as a closed braid. The main results in the area are established with full proofs, in a systematic fashion, with an eye toward making them accessible to the beginning reader. There are some new contributions, described in detail in the introduction.
dc.description61 pages
dc.identifierhttps://arxiv.org/abs/math/9804028
dc.identifierhttp://arxiv.org/abs/math/9804028
dc.identifierJnl Knot Th 7, No.3 (1998), 267-334
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76794
dc.subjectGeometric Topology
dc.subject57M25,57M50
dc.titleStudying surfaces via closed braids
dc.typetext

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