The Colored Jones Polynomial of Singular Knots

Published 27 Feb 2016 in math.GT | (1602.08628v2)

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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