2017/02/08 by Hans Bodén, Matthias Nagel · 2 citations
Mathematics · Medicine · #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Advanced Operator Algebra Research #Concordance #Knot (papermaking) #Group (periodic table) #Mathematics #Medicine #Physics #Materials science #Internal medicine #Composite material
paper · doi:10.1090/proc/13667
openalex publication_date 2017/02/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study concordance of virtual knots. Our main result is that a classical knot <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper K"> <mml:semantics> <mml:mi>K</mml:mi> <mml:annotation encoding="application/x-tex">K</mml:annotation> </mml:semantics> </mml:math> </inline-formula> 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.