Kauffman state sums and bracket deformation

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dc.creatorApostolakis, Nikos
dc.creatorKaiser, Uwe
dc.date2006-08-22
dc.date2007-08-06
dc.date.accessioned2026-07-07T08:28:03Z
dc.date.available2026-07-07T08:28:03Z
dc.descriptionWe derive a formula expanding the bracket with respect to a natural deformation parameter. The expansion is in terms of a two-variable polynomial algebra of diagram resolutions generated by basic operations involving the Goldman bracket. A functorial characterization of this algebra is given. Differentiability properties of the star product underlying the Kauffman bracket are discussed.
dc.description22 pages. In this version we correct some typographical mistakes and improve the exposition in a few places
dc.identifierhttps://arxiv.org/abs/math/0608551
dc.identifierhttp://arxiv.org/abs/math/0608551
dc.identifierJournal of Knot Theory and Its Ramifications, Vol. 16, No. 7 (2007), 809 - 831.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137479
dc.subjectGeometric Topology
dc.subjectQuantum Algebra
dc.subject57M25, 57M35, 57R42
dc.titleKauffman state sums and bracket deformation
dc.typetext

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