Signature jumps and Alexander polynomials for links
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- by Patrick M. Gilmer and Charles Livingston PDF
- Proc. Amer. Math. Soc. 144 (2016), 5407-5417 Request permission
Abstract:
We relate the jumps of the signature function of a link to the roots of its first non-zero higher Alexander polynomial that lie on the unit circle.References
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Additional Information
- Patrick M. Gilmer
- Affiliation: Department of Mathematics, Louisiana State University, Baton Rouge, Louisiana 70803
- MR Author ID: 73695
- Email: gilmer@math.lsu.edu
- Charles Livingston
- Affiliation: Department of Mathematics, Indiana University, Bloomington, Indiana 47405
- MR Author ID: 193092
- Email: livingst@indiana.edu
- Received by editor(s): September 2, 2015
- Received by editor(s) in revised form: December 20, 2015, and January 28, 2016
- Published electronically: May 3, 2016
- Additional Notes: The first author was partially supported by NSF-DMS–1311911
The second author was partially supported by a grant from the Simons Foundation and by NSF-DMS–1505586. - Communicated by: Martin Scharlemann
- © Copyright 2016 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 5407-5417
- MSC (2010): Primary 57M25
- DOI: https://doi.org/10.1090/proc/13129
- MathSciNet review: 3556282