Higher-Dimensional Algebra IV: 2-Tangles

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dc.creatorBaez, John C.
dc.creatorLangford, Laurel
dc.date1998-11-24
dc.date2000-10-14
dc.date.accessioned2026-07-07T06:24:57Z
dc.date.available2026-07-07T06:24:57Z
dc.descriptionJust as knots and links can be algebraically described as certain morphisms in the category of tangles in 3 dimensions, compact surfaces smoothly embedded in R^4 can be described as certain 2-morphisms in the 2-category of `2-tangles in 4 dimensions'. Using the work of Carter, Rieger and Saito, we prove that this 2-category is the `free semistrict braided monoidal 2-category with duals on one unframed self-dual object'. By this universal property, any unframed self-dual object in a braided monoidal 2-category with duals determines an invariant of 2-tangles in 4 dimensions.
dc.description64 pages LaTeX with 35 encapsulated Postscript figures
dc.identifierhttps://arxiv.org/abs/math/9811139
dc.identifierhttp://arxiv.org/abs/math/9811139
dc.identifierAdv. Math. 180 (2003), 705-764.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96718
dc.subjectQuantum Algebra
dc.subjectAlgebraic Topology
dc.subjectCategory Theory
dc.titleHigher-Dimensional Algebra IV: 2-Tangles
dc.typetext

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