Cobordisms to weakly splittable links
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- by Stefan Friedl and Mark Powell PDF
- Proc. Amer. Math. Soc. 142 (2014), 703-712 Request permission
Abstract:
We show that if a link $L$ with a non–zero Alexander polynomial admits a locally flat cobordism to a ‘weakly $m$–split link’, then the cobordism must have genus at least $\lfloor \frac {m}{2}\rfloor$. This generalises a recent result of J. Pardon.References
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Additional Information
- Stefan Friedl
- Affiliation: Mathematisches Institut, Universität zu Köln, Köln, Germany
- MR Author ID: 746949
- Email: sfriedl@gmail.com
- Mark Powell
- Affiliation: Department of Mathematics, Indiana University, Bloomington, Indiana 47405
- MR Author ID: 975189
- Email: macp@indiana.edu
- Received by editor(s): December 20, 2011
- Received by editor(s) in revised form: March 26, 2012
- Published electronically: November 4, 2013
- Communicated by: Daniel Ruberman
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 142 (2014), 703-712
- MSC (2010): Primary 57M25, 57M27, 57N70
- DOI: https://doi.org/10.1090/S0002-9939-2013-11792-2
- MathSciNet review: 3134010