A Link Invariant from Quantum Dilogarithm

Details A Link Invariant from Quantum Dilogarithm A Link Invariant from Quantum Dilogarithm

1995-04-24

arxiv.org/abs/q-alg/9504020v1

Mathematics

Quantum Algebra

10 pages, LaTeX

Scientific paper

10.1142/S0217732395001526

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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