Handle number one links and Generalized Property $R$
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- by Michael J. Williams
- Proc. Amer. Math. Soc. 140 (2012), 1105-1109
- DOI: https://doi.org/10.1090/S0002-9939-2011-10966-3
- Published electronically: July 26, 2011
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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 $R.$References
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Bibliographic Information
- Michael J. Williams
- Affiliation: Department of Mathematics, University of California, Riverside, California 92521
- Email: mwilliam@ucr.edu
- 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
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - 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
- MathSciNet review: 2869095