Detection of Chirality and Mutations of Knots and Links
arXiv:1107.2179
Abstract
In this brief presentation, we would like to present our attempts of detecting chirality and mutations from Chern-Simons gauge theory. The results show that the generalised knot invariants, obtained from Chern-Simons gauge theory, are more powerful than Jones, HOMFLYPT and Kauffman polynomials. However the classification problem of knots and links is still an open challenging problem.
15 pages,12 figures, invited talk(to appear in 2009 ICTP Knot Theory School and Conference Proceedings)