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Application of braiding sequences III: Concordance of positive knots

A. Stoimenow

Gwangju Institute of Science and Technology, School of General Studies, GIST College, 123 Cheomdan-gwagiro, Gwangju 500-712, Korea

http://stoimenov.net/stoimeno/homepage/

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https://doi.org/10.1142/S0129167X15500500Cited by:5 (Source: Crossref)

Abstract

Applying the concept of braiding sequences and the inequality between the signature and number of roots of the Alexander polynomial on the unit circle, we prove that only finitely many special alternating knots are (even algebraically) concordant, in that their concordance class determines their Alexander polynomial. We discuss some extensions of this result to positive and almost positive knots, and links.

Keywords:

AMSC: 57M25, 57N70, 57M27, 15A63, 11C99

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