dorsal/arxiv
View SchemaA Link Invariant from Quantum Dilogarithm
| Authors | R. M. Kashaev |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9504020 |
| URL | https://arxiv.org/abs/q-alg/9504020 |
| DOI | 10.1142/S0217732395001526 |
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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"abstract": "The link invariant, arising from the cyclic quantum dilogarithm via the\nparticular $R$-matrix construction, is proved to coincide with the invariant of\ntriangulated links in $S^3$ introduced in R.M. Kashaev, Mod. Phys. Lett. A,\nVol.9 No.40 (1994) 3757. The obtained invariant, like Alexander-Conway\npolynomial, vanishes on disjoint union of links. The $R$-matrix can be\nconsidered as the cyclic analog of the universal $R$-matrix associated with\n$U_q(sl(2))$ algebra.",
"arxiv_id": "q-alg/9504020",
"authors": [
"R. M. Kashaev"
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"doi": "10.1142/S0217732395001526",
"title": "A Link Invariant from Quantum Dilogarithm",
"url": "https://arxiv.org/abs/q-alg/9504020"
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