Concordance group of virtual knots

Boden, Hans; Nagel, Matthias

doi:10.1090/proc/13667

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.

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