torus link

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:canBeEmbeddedIn gptkb:3-sphere
Euclidean 3-space
gptkbp:characterizedBy two coprime integers (p, q) for torus knots, non-coprime for torus links
gptkbp:definedIn a link that can be drawn on the surface of a torus without crossings
gptkbp:example gptkb:Hopf_link
unlink
gptkbp:field gptkb:topology
knot theory
gptkbp:has_component_count gcd(p, q)
gptkbp:hasInvariant gptkb:Jones_polynomial
gptkb:HOMFLY_polynomial
gptkb:Alexander_polynomial
gptkbp:hasSpecialCase knot
https://www.w3.org/2000/01/rdf-schema#label torus link
gptkbp:namedFor mathematicians studying knots and links
gptkbp:relatedTo gptkb:Seifert_surface
braid group
gptkbp:represents gptkb:(p,_q)-torus_link
gptkbp:studiedBy low-dimensional topology
gptkbp:symmetry rotational symmetry on torus
gptkbp:bfsParent gptkb:butter
gptkbp:bfsLayer 4