Vol. 124, No. 2, 1986

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A polynomial invariant of knots and links

Jim Hoste

Vol. 124 (1986), No. 2, 295–320
Abstract

Suppose L is a classical oriented link in S3. We define an isotopy invariant of L, QL(x,y,z), which is a homogeneous Laurent polynomial of degree zero. The Conway polynomial L(z) and the Jones polynomial V L(t) are special cases of Q. Some basic properties of Q are given along with several examples.

Mathematical Subject Classification 2000
Primary: 57M25
Milestones
Received: 1 April 1985
Published: 1 October 1986
Authors
Jim Hoste
Pitzer College
1050 N Mills Avenue
Claremont CA 91711
United States
http://pzacad.pitzer.edu/~jhoste/