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An obstruction to a knot being deform-spun via Alexander polynomials
Author(s):
Ryan
Budney;
Alexandra
Mozgova
Journal:
Proc. Amer. Math. Soc.
137
(2009),
3547-3552.
MSC (2000):
Primary 57R40
Posted:
May 27, 2009
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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  , that not all co-dimension 2 knots in  are deform-spun from knots in  .
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
DOI:
10.1090/S0002-9939-09-09920-1
PII:
S 0002-9939(09)09920-1
Received by editor(s):
November 18, 2007,
Received by editor(s) in revised form:
February 16, 2009
Posted:
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 of article:
Copyright
2009,
American Mathematical Society
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