This article is cited in 5 papers

Beta pentagon relations

R. M. Kashaev

Section de mathématiques, Université de Genève, Genève, Suisse

Abstract: The (quantum) pentagon relation underlies the existing constructions of three-dimensional quantum topology in the combinatorial framework of triangulations. We discuss a special class of integral pentagon relations and their relations to the Faddeev-type operator pentagon relations.

Keywords: pentagon relation, quantum dilogarithm, locally compact Abelian group.

Received: 06.03.2014

DOI: 10.4213/tmf8671

 English version: Theoretical and Mathematical Physics, 2014, 181:1, 1194–1205

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