Concordance group of virtual knots

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 in corpus (1)

• Virtual Covers of Links II

Cited by in corpus (6)

• Virtual knot cobordism and bounding the slice genus
• Signature and concordance of virtual knots
• Milnor's concordance invariants for knots on surfaces
• Computations of the slice genus of virtual knots
• Deep and shallow slice knots in 4-manifolds
• Ascent concordance