Kirby elements and quantum invariants

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dc.creatorVirelizier, Alexis
dc.date2003-12-17
dc.date2003-12-17
dc.date.accessioned2026-07-07T05:04:00Z
dc.date.available2026-07-07T05:04:00Z
dc.descriptionWe define the notion of a Kirby element of a ribbon category C (not necessarily semisimple). Kirby elements lead to 3-manifolds invariants. We characterize (in terms of the structure maps of some categorical Hopf algebra) a set of Kirby elements of C which is sufficiently large to recover the known quantum invariants computed from C. The cases of a semisimple ribbon category and of a category of representations are explored in details.
dc.description45 pages
dc.identifierhttps://arxiv.org/abs/math/0312337
dc.identifierhttp://arxiv.org/abs/math/0312337
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69636
dc.subjectGeometric Topology
dc.subjectQuantum Algebra
dc.subject57M27; 18D10; 81R50
dc.titleKirby elements and quantum invariants
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