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Handle number one links and Generalized Property $ R$


Author: Michael J. Williams
Journal: Proc. Amer. Math. Soc. 140 (2012), 1105-1109
MSC (2010): Primary 57M25, 57M27
DOI: https://doi.org/10.1090/S0002-9939-2011-10966-3
Published electronically: July 26, 2011
MathSciNet review: 2869095
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Abstract: It is shown that if the exterior of a link $ L$ in the three sphere admits a genus 2 Heegaard splitting, then $ L$ has Generalized Property $ R.$


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Additional Information

Michael J. Williams
Affiliation: Department of Mathematics, University of California, Riverside, California 92521
Email: mwilliam@ucr.edu

DOI: https://doi.org/10.1090/S0002-9939-2011-10966-3
Received by editor(s): October 20, 2009
Received by editor(s) in revised form: December 22, 2009, and December 22, 2010
Published electronically: July 26, 2011
Additional Notes: The research was supported by a University of California President’s Postdoctoral Fellowship and the UC Santa Barbara Department of Mathematics.
Communicated by: Daniel Ruberman
Article copyright: © Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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