GAUSS CODES, QUANTUM GROUPS AND RIBBON HOPF-ALGEBRAS

Authors
KAUFFMAN LH
Citation
Lh. Kauffman, GAUSS CODES, QUANTUM GROUPS AND RIBBON HOPF-ALGEBRAS, Reviews in mathematical physics, 5(4), 1993, pp. 735-773
Citations number
31
Categorie Soggetti
Physycs, Mathematical
Journal title
Reviews in mathematical physics → ACNP
ISSN journal
0129055X
Volume
5
Issue
4
Year of publication
1993
Pages
735 - 773
Database
ISI
SICI code
0129-055X(1993)5:4<735:GCQGAR>2.0.ZU;2-D
Abstract
By relating the diagrammatic foundations of knot theory with the struc ture of abstract tensors, quantum groups and ribbon Hopf algebras, spe cific expressions are derived for quantum link invariants. These expre ssions, when applied to the case of finite dimensional unimodular ribb on Hopf algebras, give rise to invariants of 3-manifolds.