A rational invariant for knot crossings
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- by Youn W. Lee PDF
- Proc. Amer. Math. Soc. 126 (1998), 3385-3392 Request permission
Abstract:
A rational number-valued invariant is constructed for the crossings of knot projections. The invariant completely determines the signature and (signed) determinant of the knot obtained by changing the crossing. In particular, if the invariant is not 0, then the new knot is distinct from the old one.References
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Additional Information
- Youn W. Lee
- Affiliation: Department of Mathematics, University of Wisconsin-Parkside, Kenosha, Wisconsin 53141
- Email: youn.lee@uwp.edu
- Received by editor(s): April 5, 1993
- Received by editor(s) in revised form: April 11, 1995
- Communicated by: James West
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 3385-3392
- MSC (1991): Primary 57M25
- DOI: https://doi.org/10.1090/S0002-9939-98-05024-2
- MathSciNet review: 1621977