The Kauffman skein algebra of a surface at $\sqrt{-1}$

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dc.creatorMarche, Julien
dc.date2008-02-06
dc.date.accessioned2026-07-07T09:19:04Z
dc.date.available2026-07-07T09:19:04Z
dc.descriptionWe study the structure of the Kauffman algebra of a surface with parameter equal to sqrt(-1). We obtain an interpretation of this algebra as an algebra of parallel transport operators acting on sections of a line bundle over the moduli space of flat connections in a trivial SU(2)-bundle over the surface. We analyse the asymptotics of traces of curve-operators in TQFT in non standard regimes where the root of unity parametrizing the TQFT accumulates to a root of unity. We interpret the case of sqrt(-1) in terms of parallel transport operators.
dc.description16 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0802.0812
dc.identifierhttp://arxiv.org/abs/0802.0812
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154251
dc.subjectGeometric Topology
dc.subjectQuantum Algebra
dc.subject57M27; 57M50; 57M56; 37E30
dc.titleThe Kauffman skein algebra of a surface at $\sqrt{-1}$
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