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Local representations of the quantum Teichmuller space

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 نشر من قبل Francis Bonahon
 تاريخ النشر 2007
  مجال البحث
والبحث باللغة English
 تأليف Hua Bai




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We 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.



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