A RELATION BETWEEN THE KAUFFMAN AND THE HOMFLY POLYNOMIALS FOR TORUS KNOTS

Citation
Jmf. Labastida et E. Perez, A RELATION BETWEEN THE KAUFFMAN AND THE HOMFLY POLYNOMIALS FOR TORUS KNOTS, Journal of mathematical physics, 37(4), 1996, pp. 2013-2042
Citations number
40
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
00222488
Volume
37
Issue
4
Year of publication
1996
Pages
2013 - 2042
Database
ISI
SICI code
0022-2488(1996)37:4<2013:ARBTKA>2.0.ZU;2-A
Abstract
Polynomial invariants corresponding to the fundamental representation of the gauge group SO(N) are computed for arbitrary torus knots in the framework of Chem-Simons gauge theory making use of knot operators. A s a result, a formula that relates the Kauffman and the HOMFLY polynom ials for torus knots is presented. (C) 1996 American Institute of Phys ics.