Knot invariant
In the mathematical field of knot theory, a knot invariant is a quantity (in a broad sense) defined for each knot which is the same for equivalent knots. The equivalence is often given by ambient isotopy but can be given by homeomorphism. Some invariants are indeed numbers, but invariants can range from the simple, such as a yes/no answer, to those as complex as a homology theory . Research on invariants is not only motivated by the basic problem of distinguishing one knot from another but also to understand fundamental properties of knots and their relations to other branches of mathematics.
Wikipage redirect
Alexander polynomialAlgebraic graph theoryAlison MillerAlternating planar algebraArf invariantArf invariant of a knotBorromean ringsBracket polynomialBraid groupBraided monoidal categoryBridge numberCategorificationChern–Simons theoryChiral knotClasper (mathematics)Crossing number (knot theory)Cyclic orderCyclohedronElisenda GrigsbyFinite type invariantFloer homologyHOMFLY polynomialHistory of loop quantum gravityHyperbolic volumeIntroduction to 3-ManifoldsInvertible knotIsotopy invariantJean Lannes (mathematician)Jennifer SchultensJones polynomialKhovanov homologyKnot (mathematics)Knot complementKnot groupKnot invariantsKnot polynomialKnot theoryKnots UnravelledKnots in WashingtonLink invariant
Link from a Wikipage to another Wikipage
primaryTopic
Knot invariant
In the mathematical field of knot theory, a knot invariant is a quantity (in a broad sense) defined for each knot which is the same for equivalent knots. The equivalence is often given by ambient isotopy but can be given by homeomorphism. Some invariants are indeed numbers, but invariants can range from the simple, such as a yes/no answer, to those as complex as a homology theory . Research on invariants is not only motivated by the basic problem of distinguishing one knot from another but also to understand fundamental properties of knots and their relations to other branches of mathematics.
has abstract
En théorie des nœuds, un invar ...... .
* Portail des mathématiques
@fr
Es coneix com a invariant per ...... iversos invariants polinòmics.
@ca
In de knopentheorie, een deelg ...... van de wiskunde te begrijpen.
@nl
In the mathematical field of k ...... ealize a particular knot type.
@en
Інваріант вузла — характеристи ...... інваріантності характеристики.
@uk
Инвариа́нт узла́ — любая харак ...... инвариантности характеристики.
@ru
Link from a Wikipage to an external page
Wikipage page ID
page length (characters) of wiki page
Wikipage revision ID
1,016,726,788
Link from a Wikipage to another Wikipage
wikiPageUsesTemplate
subject
comment
En théorie des nœuds, un invar ...... .
* Portail des mathématiques
@fr
Es coneix com a invariant per ...... valor per un invariant donat).
@ca
In de knopentheorie, een deelg ...... van de wiskunde te begrijpen.
@nl
In the mathematical field of k ...... other branches of mathematics.
@en
Інваріант вузла — характеристи ...... з іншими галузями математики.
@uk
Инвариа́нт узла́ — любая харак ...... другими областями математики.
@ru
label
Invariant de nœuds
@fr
Invariant per nusos
@ca
Knoopinvariant
@nl
Knot invariant
@en
Knoteninvariante
@de
Nó invariante
@pt
Інваріант вузла
@uk
Инвариант узла
@ru