Cluster ensembles, quantization and the dilogarithm II: The intertwiner

Progress in Mathematics

Volumn 269, Issue , 2009, Pages 655-673

  Fock, V V ^a   Goncharov, A B ^b  

^a UNIVERSITÉ DE STRASBOURG   (France)

^b BROWN UNIVERSITY   (United States)

Author keywords

Cluster varieties; Quantization; Quantum dilogarithm

Indexed keywords

EID: 84862063417     PISSN: 07431643     EISSN: 2296505X     Source Type: Book Series    
DOI: 10.1007/978-0-8176-4745-2_15     Document Type: Chapter

References (10)

1. Barnes E.W., The genesis of the double gamma function, Proc. London Math. Soc. 31 (1899) 358-381.
2. Baxter R., Exactly solved models in statistical mechanics, Academic Press (1982).
3. Berenstein A., Fomin S., Zelevinsky A., Cluster algebras III, Upper bounds and double Bruhat cells, math.RT/0305434. J. Amer. Math. Soc. 15 (2002), no. 2, 497-529.
4. Faddeev L.D., Discrete Heisenberg-Weyl group and modular group, Lett. Math. Phys. 34 (1995), no. 3, 249-254.
5. Fock, V. V., Chekhov, L. O., Quantum Teichmüller spaces, Teoret. Mat. Fiz. 120 (1999), no. 3, 511-528.
6. Fock V.V., Goncharov A.B., Moduli spaces of local systems and higher Teichmuller theory, Publ. Math. IHES, n. 103 (2006) 1-212. math.AG/0311149.
7. Fock V.V., Goncharov A.B., Cluster ensembles, quantization and the dilogarithm I, Ann Scient de Ec. Norm. Sup., t. 42, N6, (2009), 865-929. math.AG/0311245.
8. Fock V.V., Goncharov A.B., The quantum dilogarithm and representations of quantum cluster varieties, math.QA/0702397.
9. Fomin S., Zelevinsky A., Cluster algebras. I, Foundations, J. Amer.Math. Soc. 15 (2002), no. 2, 497-529.
10. Kashaev R.M., Quantization of Teichmuller spaces and the quantum dilogarithm, Lett. Math. Phys. 43 (1998), no. 2, 105-115.