An obstruction to a knot being deform-spun via Alexander polynomials
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- by Ryan Budney and Alexandra Mozgova PDF
- Proc. Amer. Math. Soc. 137 (2009), 3547-3552 Request permission
Abstract:
We show that if a co-dimension two knot is deform-spun from a lower-dimensional co-dimension 2 knot, there are constraints on the Alexander polynomials. In particular this shows, for all $n$, that not all co-dimension 2 knots in $S^n$ are deform-spun from knots in $S^{n-1}$.References
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Additional Information
- Ryan Budney
- Affiliation: Department of Mathematics and Statistics, University of Victoria, P.O. Box 3045 STN CSC, Victoria, British Columbia, Canada V8W 3P4
- Email: rybu@uvic.ca
- Alexandra Mozgova
- Affiliation: ACRI, 260 route du Pin Montard, BP 234, F-06904 Sophia Antipolis Cedex, France
- Email: sasha.mozgova@gmail.com
- Received by editor(s): November 18, 2007
- Received by editor(s) in revised form: February 16, 2009
- Published electronically: May 27, 2009
- Additional Notes: The authors would like to thank the Max Planck Institute for Mathematics for its hospitality. The first author would also like to thank the Institut des Hautes Études Scientifiques for its hospitality, as well as Danny Ruberman and an anonymous referee for many useful comments on the paper.
- Communicated by: Daniel Ruberman
- © Copyright 2009 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 137 (2009), 3547-3552
- MSC (2000): Primary 57R40
- DOI: https://doi.org/10.1090/S0002-9939-09-09920-1
- MathSciNet review: 2515425