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