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The Colored Jones Polynomial of Singular Knots

2016/02/27 by Khaled Bataineh, Bataineh, Khaled, Mohamed Elhamdadi +3
Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #math.GT

paper · pdf · doi:10.48550/arxiv.1602.08628

arxiv created 2016/08/20 · arxiv updated 2016/08/23

Abstract

We generalize the colored Jones polynomial to 4-valent graphs. This generalization is given as a sequence of invariants in which the first term is a one variable specialization of the Kauffman-Vogel polynomial. We use the invariant we construct to give a sequence of singular braid group representations.

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