Corpus ID: 115157539

Local representations of the quantum Teichmuller space

  title={Local representations of the quantum Teichmuller space},
  author={Hua Bai and Francis Bonahon and Xiaobo Liu},
  • Hua Bai, Francis Bonahon, Xiaobo Liu
  • Published 2007
  • Mathematics
  • 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… CONTINUE READING

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