Concordance group of virtual knots

  • Boden H
  • Nagel M
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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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Boden, H. U., & Nagel, M. (2017). Concordance group of virtual knots. Proceedings of the American Mathematical Society, 145(12), 5451–5461. https://doi.org/10.1090/proc/13667

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