Local representations of the quantum Teichmuller space

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dc.creatorBai, Hua
dc.creatorBonahon, Francis
dc.creatorLiu, Xiaobo
dc.date2007-07-14
dc.date.accessioned2026-07-07T08:18:27Z
dc.date.available2026-07-07T08:18:27Z
dc.descriptionWe introduce a certain type of representations for the quantum Teichmuller space of a punctured surface, which we call local representations. We show that, up to finitely many choices, these purely algebraic representations are classified by classical geometric data. We also investigate the family of intertwining operators associated to such a representations. In particular, we use these intertwiners to construct a natural fiber bundle over the Teichmuller space and its quotient under the action of the mapping class group. This construction also offers a convenient framework to exhibit invariants of surface diffeomorphisms.
dc.description35 pages
dc.identifierhttps://arxiv.org/abs/0707.2151
dc.identifierhttp://arxiv.org/abs/0707.2151
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134433
dc.subjectGeometric Topology
dc.subjectQuantum Algebra
dc.titleLocal representations of the quantum Teichmuller space
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