The concordance classification of low crossing number knots

Collins, Julia; Kirk, Paul; Livingston, Charles

doi:10.1090/proc/12587

The concordance classification of low crossing number knots
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by Julia Collins, Paul Kirk and Charles Livingston PDF

Proc. Amer. Math. Soc. 143 (2015), 4525-4536 Request permission

Abstract:

We present the complete classification of the subgroup of the classical knot concordance group generated by prime knots with eight or fewer crossings. Proofs are presented in summary. We also describe extensions of this work to the case of nine crossing knots.

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