Alexander Polynomials of Knots Which Are Transformed into the Trefoil Knot by a Single Crossing Change

- Journal title : Kyungpook mathematical journal
- Volume 52, Issue 2, 2012, pp.201-208
- Publisher : Department of Mathematics, Kyungpook National University
- DOI : 10.5666/KMJ.2012.52.2.201

Title & Authors

Alexander Polynomials of Knots Which Are Transformed into the Trefoil Knot by a Single Crossing Change

Nakanishi, Yasutaka;

Nakanishi, Yasutaka;

Abstract

By the works of Kondo and Sakai, it is known that Alexander polynomials of knots which are transformed into the trivial knot by a single crossing change are characterized. In this note, we will characterize Alexander polynomials of knots which are transformed into the trefoil knot (and into the figure-eight knot) by a single crossing change.

Keywords

Alexander polynomials;Crossing change;Trefoil knot;Figure-eight knot;

Language

English

References

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