Tangle Embeddings and Quandle Cocycle Invariants
Kheira Ameur, Mohamed Elhamdadi, Tom Rose, Masahico Saito, and Chad Smudde
Source: Experiment. Math. Volume 17, Issue 4 (2008), 487-498.
Abstract
To study embeddings of tangles in knots, we use quandle cocycle invariants. Computations are carried out for tables of knots and tangles to investigate which tangles may or may not embed in knots in the tables.
Primary Subjects: 57M25
Keywords: Knots, tangles; quandles; cocycle invariants; tangle embedding
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Experimental Mathematics