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Detection of Chirality and Mutations of Knots and Links

2011/07/12 by Pichai Ramadevi, Ramadevi Pichai, Pichai, Ramadevi
Mathematics · Physics and Astronomy · #Geometric and Algebraic Topology #hep-th #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1107.2179

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

arxiv created 2011/07/12 · arxiv updated 2011/07/13

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.

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