Cluster ensembles, quantization and the dilogarithm II: The intertwiner
arXiv:math/0702398
Abstract
The main result is a construction, via the quantum dilogarithm, of certain intertwiner operators, which play the crucial role in the quantization of the cluster X-varieties and construction of the corresponding canonical representation.
This is a new version of the last two chapters of our preprint ``Cluster ensembles, quantization and the dilogarithm'' math.AG/0311245