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Uniqueness of bridge surfaces for 2-bridge knots

Published online by Cambridge University Press:  01 May 2008

MARTIN SCHARLEMANN  and
MAGGY TOMOVA
MARTIN SCHARLEMANN*
Affiliation:
Mathematics Department, University of California Santa Barbara, Santa Barbara, CA 93117, U.S.A. email: mgscharl@math.ucsb.edu
MAGGY TOMOVA
Affiliation:
Mathematics Department, Rice University, 6100 S. Main St., Houston TX 77005-1892, U.S.A. email: maggy.tomova@rice.edu
*
†Partially supported by a National Science Foundation grant.
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Abstract

Any 2-bridge knot in S3 has a bridge sphere from which any other bridge surface can be obtained by stabilization, meridional stabilization, perturbation and proper isotopy.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 144 , Issue 3 , May 2008 , pp. 639 - 650
Copyright
Copyright © Cambridge Philosophical Society 2008

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References

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