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Quantization of Teichmüller Spaces and the Quantum Dilogarithm

✍ Scribed by R. M. Kashaev

Book ID
110250431
Publisher
Springer
Year
1998
Tongue
English
Weight
129 KB
Volume
43
Category
Article
ISSN
0377-9017

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## Abstract This note announces the proof of a conjecture of H. Verlinde, according to which the spaces of Liouville conformal blocks and the Hilbert spaces from the quantization of the Teichmüller spaces of Riemann surfaces carry equivalent representations of the mapping class group. This provides