Braided Deformations of Monoidal Categories and Vassiliev Invariants

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dc.creatorYetter, David N.
dc.date1997-10-06
dc.date.accessioned2026-07-07T05:57:38Z
dc.date.available2026-07-07T05:57:38Z
dc.descriptionBraided deformations of (symmetric) monoidal categories are related to Vassiliev theory by a direct generalization of well-known results relating "quantum" knot invariants to Vassiliev invariants. The deformation theory of braidings is subsumed by the deformation theory of monoidal functors, which proves surprisingly rich: the deformation complex of a monoidal functor has the same structure as the deformation complex of an algebra, including a pre-Lie structure, from which it is see that the problem of deforming monoidal functors (including braidings) is purely cohomological in nature.
dc.descriptionLaTeX 2.1, uses amssym.def and amssym, 20 pages, all figures in LaTeX
dc.identifierhttps://arxiv.org/abs/q-alg/9710010
dc.identifierhttp://arxiv.org/abs/q-alg/9710010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/88054
dc.subjectQuantum Algebra
dc.titleBraided Deformations of Monoidal Categories and Vassiliev Invariants
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