Concordance group of virtual knots
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- by Hans U. Boden and Matthias Nagel PDF
- Proc. Amer. Math. Soc. 145 (2017), 5451-5461 Request permission
Abstract:
We study concordance of virtual knots. Our main result is that a classical knot $K$ is virtually slice if and only if it is classically slice. From this we deduce that the concordance group of classical knots embeds into the concordance group of long virtual knots.References
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Additional Information
- Hans U. Boden
- Affiliation: Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada
- MR Author ID: 312802
- ORCID: 0000-0001-5516-8327
- Email: boden@mcmaster.ca
- Matthias Nagel
- Affiliation: Département de Mathématiques, Université du Québec à Montréal, Montréal, Canada
- Email: nagel@cirget.ca
- Received by editor(s): August 5, 2016
- Received by editor(s) in revised form: January 12, 2017
- Published electronically: June 16, 2017
- Communicated by: David Futer
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 5451-5461
- MSC (2010): Primary 57M25; Secondary 57M27
- DOI: https://doi.org/10.1090/proc/13667
- MathSciNet review: 3717970