Detection of Chirality and Mutations of Knots and Links

Details Detection of Chirality and Mutations of Knots and Links Detection of Chirality and Mutations of Knots and Links

2011-07-12

arxiv.org/abs/1107.2179v1

Physics

High Energy Physics

High Energy Physics - Theory

15 pages,12 figures, invited talk(to appear in 2009 ICTP Knot Theory School and Conference Proceedings)

Scientific paper

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.

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