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Concordance group of virtual knots


Authors: Hans U. Boden and Matthias Nagel
Journal: Proc. Amer. Math. Soc.
MSC (2010): Primary 57M25; Secondary 57M27
DOI: https://doi.org/10.1090/proc/13667
Published electronically: June 16, 2017
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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.


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Additional Information

Hans U. Boden
Affiliation: Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada
Email: boden@mcmaster.ca

Matthias Nagel
Affiliation: Département de Mathématiques, Université du Québec à Montréal, Montréal, Canada
Email: nagel@cirget.ca

DOI: https://doi.org/10.1090/proc/13667
Keywords: Concordance, slice knot, virtual knot.
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
Article copyright: © Copyright 2017 American Mathematical Society