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{{Infobox knot theory | name= Granny knot ...

{{Short description|Mathematical knot with crossing number 6}} {{DISPLAYTITLE:6₂ knot}} ...

{{short description|Mathematical knot with crossing number 6}} {{Infobox knot theory ...

{{DISPLAYTITLE:6₃ knot}} {{short description|Mathematical knot with crossing number 6}} ...

{{Short description|Minimum number of times a specific knot must be passed through itself to become untied}} [[Image:Unknotting trefoil.svg|300px|thumb|Trefoil knot without 3-fold symmetry being unknotted by one crossing switch.]] ...

{{short description|Mathematical knot with crossing number 5}} {{Infobox knot theory ...

[[Image:Blue 8_1 Knot.png|thumb|right|A twist knot with six half-twists.]] ...of knots, and are considered the simplest type of knots after the [[torus knot]]s. ...

{{Short description|Knot that can't be tied in a string of constant diameter}} [[Image:Wild knot.svg|thumb|400px|A wild knot]] ...

{{DISPLAYTITLE:7₄ knot}} {{short description|Mathematical knot with crossing number 7}} ...

{{Short description|Group presentations useful in knot theory}} ...>\{g_1,g_2,\ldots,g_k\}.</math> [[Wilhelm Wirtinger]] observed that the [[knot complement|complements of knots]] in [[Three-dimensional space|3-space]] ha ...

...roperties of [[Jones polynomial]] and [[Khovanov homology]] of alternating links. ...perty that states that the Jones Polynomial of an alternating [[Link (knot theory)|link]] is an alternating polynomial. ...

{{Short description|Concept in mathematical knot theory}} ...ed Jones polynomial]] of [[Surgery theory|surgery]] presentations of the [[knot complement]].<ref name=rt91/><ref> ...

...closures that are equivalent [[knot (mathematics)|knot]]s or [[link (knot theory)|link]]s. The conditions are stated in terms of the [[group (mathematics)|g ...ndrei Andreevich Markov Jr.]]<ref>A. A. Markov Jr., [http://www.mathnet.ru/links/4318fdf834b204d4d948d0f977413652/sm5359.pdf Über die freie Äquivalenz der g ...

In [[mathematics]], two [[link (knot theory)|links]] <math>L_0 \subset S^n</math> and <math>L_1 \subset S^n</math> are '''conc ...one of the most elementary concordance invariants. The [[signature of a knot]] is also a concordance invariant. A subtler concordance invariant are the ...

{{Short description|Form of knot diagram}} ...|upright=1.2|Petal projection of a [[trefoil knot]], the unique nontrivial knot with petal number five{{r|acd}}]] ...

...he average crossing number is often seen in the context of [[physical knot theory]]. ...ion, orthogonal projection onto the plane perpendicular to ''v'' gives a [[knot diagram]], and we can compute the crossing number, denoted ''n''(''v''). Th ...

{{Short description|Conjecture in knot theory relating quantum invariants and hyperbolic geometry}} | field = [[Knot theory]] ...

{{Infobox knot theory | last knot= L10a139 ...

{{Short description|Analog of the knot group}} ...heory)|link]] is an analog of the [[knot group]] of a [[Knot (mathematics)|knot]]. They were described by [[John Milnor]] in his Ph.D. thesis, {{harv|Milno ...

...cially [[low-dimensional topology]], [[knot theory|the theory of knots and links]] and associated algebra. ...ce|knot concordance group]], whose lower levels encapsulate many classical knot concordance invariants. ...