Knot concordance group

GPTKB entity

Statements (42)
Predicate Object
gptkbp:instanceOf gptkb:group_of_people
gptkbp:definedIn knots in 3-sphere
gptkbp:field gptkb:topology
knot theory
gptkbp:hasApplication low-dimensional topology
4-manifold topology
study of smooth structures
gptkbp:hasElementOrder 2
infinite order
gptkbp:hasInvariant gptkb:Arf_invariant
gptkb:Alexander_polynomial
Tristram-Levine signatures
Casson-Gordon invariants
Ozsváth-Szabó tau invariant
Rasmussen s-invariant
Seifert form
signature invariant
gptkbp:hasSubgroup algebraically slice knots
https://www.w3.org/2000/01/rdf-schema#label Knot concordance group
gptkbp:identityElement gptkb:unknot
mirror image with reversed orientation
gptkbp:isCountable true
gptkbp:isFinitelyGenerated false
gptkbp:isNonAbelian true
gptkbp:isQuotientOf algebraic concordance group
gptkbp:notableContributor gptkb:Tim_Cochran
gptkb:John_Milnor
gptkb:Peter_Teichner
gptkb:Ralph_Fox
Jerome Levine
gptkbp:notation C
gptkbp:numberOfIssues classification of slice knots
structure of torsion elements
gptkbp:operator connected sum
gptkbp:order infinite
gptkbp:relatedTo knot cobordism
algebraic concordance group
slice knots
gptkbp:studiedBy gptkb:mathematician
gptkbp:studiedIn 1960s
gptkbp:bfsParent gptkb:High-dimensional_Knot_Theory
gptkbp:bfsLayer 7