Frobenius algebras and skein modules of surfaces in 3-manifolds

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dc.creatorKaiser, Uwe
dc.date2008-02-27
dc.date.accessioned2026-07-07T09:23:36Z
dc.date.available2026-07-07T09:23:36Z
dc.descriptionFor each Frobenius algebra there is defined a skein module of surfaces embedded in a given 3-manifold and bounding a prescribed curve system in the boundary. The skein relations are local and generate the kernel of a certain natural extension of the corresponding topological quantum field theory. In particular the skein module of the 3-ball is isomorphic to the ground ring of the Frobenius algebra. We prove a presentation theorem for the skein module with generators incompressible surfaces colored by elements of a generating set of the Frobenius algebra, and with relations determined by tubing geometry in the manifold and relations of the algebra.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/0802.4068
dc.identifierhttp://arxiv.org/abs/0802.4068
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155791
dc.subjectGeometric Topology
dc.subjectQuantum Algebra
dc.subject57M25
dc.titleFrobenius algebras and skein modules of surfaces in 3-manifolds
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