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The link invariant, arising from the cyclic quantum dilogarithm via the particular R- matrix construction is proved to coincide with the invariant of triangulated links in S 3 introduced in Ref. 14. The obtained invariant, like Alexander-Conway polynomial, vanishes on disjoint union of links. The R-matrix can be considered as the cyclic analog of the universal R-matrix associated with U q (sl(2)) algebra.
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Rinat Kashaev
University of Geneva
Modern Physics Letters A
Centre National de la Recherche Scientifique
École Normale Supérieure de Lyon
Laboratoire de Physique Théorique
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Rinat Kashaev (Wed,) studied this question.
synapsesocial.com/papers/6a1c086cb33628da419d22c9 — DOI: https://doi.org/10.1142/s0217732395001526