Knot reversal and rational concordance
Copyright policy )Knot reversal and rational concordance
AbstractWe give an infinite family of knots that are not rationally concordant to their reverses. More precisely, if denotes the involution of the rational knot concordance group induced by reversal and denotes the subgroup of knots fixed under in , then contains an infinite rank subgroup. As a corollary, we show that there exists a knot such that for every pair of coprime integers and , the ‐cable of is not concordant to the reverse of the ‐cable of .
- Konkuk University Korea (Republic of)
Mathematics - Geometric Topology, Cobordism and concordance in topological manifolds, FOS: Mathematics, Knot theory, Geometric Topology (math.GT)
Mathematics - Geometric Topology, Cobordism and concordance in topological manifolds, FOS: Mathematics, Knot theory, Geometric Topology (math.GT)
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