Tangle embeddings and quandle cocycle invariants

2007/03/20 by Kheira Ameur, Mohamed Elhamdadi, Ameur, Kheira +7 · 1 citation
Mathematics · #57M25 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:57M25

paper · pdf · doi:10.48550/arxiv.math/0703611

arxiv created 2007/03/20 · arxiv updated 2009/12/01

Abstract

To study embeddings of tangles in knots, we use quandle cocycle invariants. Computations are carried out for the tables of knots and tangles, to investigate which tangles may or may not embed in knots in the tables.

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• Closures of 1-tangles and annulus twists

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