Topological Quantum Field Theory and the Nielsen-Thurston classification of M(0,4)

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dc.creatorAndersen, Jorgen Ellegaard
dc.creatorMasbaum, Gregor
dc.creatorUeno, Kenji
dc.date2005-03-21
dc.date2006-08-10
dc.date.accessioned2026-07-07T06:39:37Z
dc.date.available2026-07-07T06:39:37Z
dc.descriptionWe show that the Nielsen-Thurston classification of mapping classes of the sphere with four marked points is determined by the quantum SU(n)-representations, for any fixed integer $n \geq 2$. In the Pseudo-Anosov case we also show that the stretching factor is a limit of eigenvalues of (non-unitary) SU(2)-TQFT representation matrices. It follows that at big enough levels, Pseudo-Anosov mapping classes are represented by matrices of infinite order.
dc.description13 pages, minor modifications, to be published in Math. Proc. Camb. Phil. Soc
dc.identifierhttps://arxiv.org/abs/math/0503414
dc.identifierhttp://arxiv.org/abs/math/0503414
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101145
dc.subjectGeometric Topology
dc.subjectQuantum Algebra
dc.subject57R56 (Primary) 57M50, 37E30 (Secondary)
dc.titleTopological Quantum Field Theory and the Nielsen-Thurston classification of M(0,4)
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