An analog of a modular functor from quantized Teichm"uller theory

Abstract

It is shown that the quantized Teichm"uller spaces have factorization properties like those required in the definition of a modular functor.

Material from math.QA/0405332, substantially reorganized. V2: ref. added; V3: Part III rewritten to make it more accessible, some arguments in Part IV simplified, V4: few last corrections, to appear in "Handbook of Teichmueller theory"

References in corpus (2)

• Quantum Liouville theory in the background field formalism I. Compact Riemann surfaces
• On Quantizing Teichmüller and Thurston theories

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