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Beta pentagon relations

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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.

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Correspondence to R. M. Kashaev.

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Dedicated to Professor Ludvig Faddeev on the occasion of his 80th birthday

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Kashaev, R.M. Beta pentagon relations. Theor Math Phys 181, 1194–1205 (2014). https://doi.org/10.1007/s11232-014-0208-4

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