Vol. 100, No. 2, 1982

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ISSN: 0030-8730
Realizing concordant polynomials with prime knots

Steven Albert Bleiler

Vol. 100 (1982), No. 2, 249–257
Abstract

This paper employs the theory of tangles to show that every knot in the 3-sphere is concordant to a prime knot with the same Alexander polynomial. From this it is shown that all algebraic concordances at the polynomial level are realized by geometric concordances between prime knots.

Mathematical Subject Classification 2000
Primary: 57M25
Milestones
Received: 8 August 1980
Published: 1 June 1982
Authors
Steven Albert Bleiler