Signature functions of knots
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Abstract:
The signature function of a knot is an integer-valued step function on the unit circle in the complex plane. Necessary and sufficient conditions for a function to be the signature function of a knot are presented.References
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Additional Information
- Charles Livingston
- Affiliation: Department of Mathematics, Indiana University, Bloomington, Indiana 47405
- MR Author ID: 193092
- Email: livingst@indiana.edu
- Received by editor(s): November 18, 2017
- Received by editor(s) in revised form: January 15, 2018
- Published electronically: May 4, 2018
- Additional Notes: This work was supported by a grant from the National Science Foundation, NSF-DMS-1505586.
- Communicated by: David Futer
- © Copyright 2018 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 4513-4520
- MSC (2010): Primary 57M25
- DOI: https://doi.org/10.1090/proc/14102
- MathSciNet review: 3834675