Cluster ensembles, quantization and the dilogarithm. II: The intertwiner. (English) Zbl 1225.53070
Tschinkel, Yuri (ed.) et al., Algebra, arithmetic, and geometry. In honor of Yu. I. Manin on the occasion of his 70th birthday. Vol. I. Boston, MA: Birkhäuser (ISBN 978-0-8176-4744-5/hbk; 978-0-8176-4745-2/ebook). Progress in Mathematics 269, 655-673 (2009).
Authors’ abstract: “This paper is the second part of the paper “Cluster ensembles, quantization, and the dilogarithm” [Ann. Sci. Éc. Norm. Supér. (4) 42, No. 6, 865–930 (2009; Zbl 1180.53081)]. Its main result is a construction, by means of the quantum dilogarithm, of certain intertwiner operators, which play a crucial role in the quantization of the cluster \(\mathcal{X}\)-varieties and a construction of the corresponding canonical representation.”
For the entire collection see [Zbl 1185.00041].
For the entire collection see [Zbl 1185.00041].
Reviewer: Benjamin Cahen (Metz)
MSC:
| 53D17 | Poisson manifolds; Poisson groupoids and algebroids |
| 53D50 | Geometric quantization |
| 11G55 | Polylogarithms and relations with \(K\)-theory |
