a Link Invariant from Quantum Dilogarithm
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 S3 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 Uq(sl(2)) algebra.
- Publication:
-
Modern Physics Letters A
- Pub Date:
- 1995
- DOI:
- 10.1142/S0217732395001526
- arXiv:
- arXiv:q-alg/9504020
- Bibcode:
- 1995MPLA...10.1409K
- Keywords:
-
- Mathematics - Quantum Algebra
- E-Print:
- 10 pages, LaTeX