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A Link Invariant from Quantum Dilogarithm

R. M. Kashaev
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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.

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BibTeXRIS

R. M. Kashaev. 1995-04-24. A Link Invariant from Quantum Dilogarithm. https://doi.org/10.1142/s0217732395001526

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