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A Link Invariant from Quantum Dilogarithm
Preprint
24 April 1995
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Abstract
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 R.M. Kashaev, Mod. Phys. Lett. A, Vol.9 No.40 (1994) 3757. 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.