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Indicwiki
https://www.vigyanwiki.in/index.php?title=Template:Knot_theory&diff=116421&oldid=prev
alpha>Indicwiki: Created page with "{{Navbox | name = Knot theory | title = Knot theory (knots and links) | bodyclass = hlist | state = {{{state<inc..."
2023-02-18T16:45:52Z
<p>Created page with "{{Navbox | name = Knot theory | title = <a href="/index.php?title=Knot_theory&action=edit&redlink=1" class="new" title="Knot theory (page does not exist)">Knot theory</a> (<a href="/index.php?title=Knot_(mathematics)&action=edit&redlink=1" class="new" title="Knot (mathematics) (page does not exist)">knots</a> and <a href="/index.php?title=Link_(knot_theory)&action=edit&redlink=1" class="new" title="Link (knot theory) (page does not exist)">links</a>) | bodyclass = hlist | state = {{{state<inc..."</p>
<p><b>New page</b></p><div>{{Navbox<br />
| name = Knot theory<br />
| title = [[Knot theory]] ([[knot (mathematics)|knots]] and [[link (knot theory)|links]])<br />
| bodyclass = hlist<br />
| state = {{{state<includeonly>|collapsed</includeonly>}}}<br />
<br />
| group1 = [[Hyperbolic link|Hyperbolic]]<br />
| list1 =<br />
*[[Figure-eight knot (mathematics)|Figure-eight]] (4<sub>1</sub>)<br />
*[[Three-twist knot|Three-twist]] (5<sub>2</sub>)<br />
*[[Stevedore knot (mathematics)|Stevedore]] (6<sub>1</sub>)<br />
*[[6₂ knot|6<sub>2</sub>]]<br />
*[[6₃ knot|6<sub>3</sub>]]<br />
*[[7₄ knot|Endless]] (7<sub>4</sub>)<br />
*[[Carrick mat]] (8<sub>18</sub>)<br />
*[[Perko pair]] (10<sub>161</sub>)<br />
*[[(−2,3,7) pretzel knot|(−2,3,7) pretzel]] (12n242)<br />
*[[Whitehead link|Whitehead]] (5{{sup sub|2|1}})<br />
*[[Borromean rings]] (6{{sup sub|3|2}})<br />
*[[L10a140 link|L10a140]]<!--Brunnian--><br />
<br />
| group2 = [[Satellite knot|Satellite]]<br />
| list2 =<br />
*[[Composite knot]]s<br />
**[[Granny knot (mathematics)|Granny]]<br />
**[[Square knot (mathematics)|Square]]<br />
*[[Knot sum]]<br />
<br />
| group3 = [[Torus knot|Torus]]<br />
| list3 = <br />
*[[Unknot]] (0<sub>1</sub>)<br />
*[[Trefoil knot|Trefoil]] (3<sub>1</sub>)<br />
*[[Cinquefoil knot|Cinquefoil]] (5<sub>1</sub>)<br />
*[[7₁ knot|Septafoil]] (7<sub>1</sub>)<br />
*[[Unlink]] (0{{sup sub|2|1}})<br />
*[[Hopf link|Hopf]] (2{{sup sub|2|1}})<br />
*[[Solomon's knot|Solomon's]] (4{{sup sub|2|1}})<br />
<br />
| group4 = [[Knot invariant|Invariants]]<br />
| list4 =<br />
*[[Alternating knot|Alternating]]<br />
*[[Arf invariant of a knot|Arf invariant]]<br />
*[[Bridge number|Bridge no.]]<br />
**[[2-bridge knot|2-bridge]]<br />
*[[Brunnian link|Brunnian]]<br />
*[[Chiral knot|Chirality]]<br />
**[[Invertible knot|Invertible]]<br />
*[[Crosscap number|Crosscap no.]]<br />
*[[Crossing number (knot theory)|Crossing no.]]<br />
*[[Finite type invariant]]<br />
*[[Hyperbolic volume]]<br />
*[[Khovanov homology]]<br />
*[[Knot genus|Genus]]<br />
*[[Knot group]]<br />
*[[Link group]]<br />
*[[Linking number|Linking no.]]<br />
*[[Knot polynomial|Polynomial]]<br />
**[[Alexander polynomial|Alexander]]<br />
**[[Bracket polynomial|Bracket]]<br />
**[[HOMFLY polynomial|HOMFLY]]<br />
**[[Jones polynomial|Jones]]<br />
**[[Kauffman polynomial|Kauffman]]<br />
*[[Pretzel link|Pretzel]]<br />
*[[Prime knot|Prime]]<br />
**[[list of prime knots|list]]<br />
*[[Stick number|Stick no.]]<br />
*[[Tricolorability]]<br />
*[[Unknotting number|Unknotting no.]] and [[Unknotting problem|problem]]<br />
<br />
| group5 = Notation<br/>and [[knot operation|operations]]<br />
| list5 =<br />
*[[Alexander–Briggs notation]]<br />
*[[Conway notation (knot theory)|Conway notation]]<br />
*[[Dowker notation]]<br />
*[[Flype]]<br />
*[[Mutation (knot theory)|Mutation]]<br />
*[[Reidemeister move]]<br />
*[[Skein relation]]<br />
*[[Knot tabulation|Tabulation]]<br />
<br />
| group7 = Other<br />
| list7 =<br />
*[[Alexander's theorem]]<br />
*[[Berge knot|Berge]]<br />
*[[Braid theory]]<br />
*[[Conway sphere]]<br />
*[[Knot complement|Complement]]<br />
*[[Double torus knot|Double torus]]<br />
*[[Fibered knot|Fibered]]<br />
*[[Knot]]<br />
*[[List of mathematical knots and links|List of knots and links]]<br />
*[[Ribbon knot|Ribbon]]<br />
*[[Slice knot|Slice]]<br />
*[[Knot sum|Sum]]<br />
*[[Tait conjectures]]<br />
*[[Twist knot|Twist]]<br />
*[[Wild knot|Wild]]<br />
*[[Writhe]]<br />
*[[Surgery theory]]<br />
<br />
| below =<br />
* {{icon|category}} '''[[:Category:Knot theory|Category]]'''<br />
* {{icon|commons}} '''[[commons:Category:Knot theory|Commons]]'''<br />
<br />
}}<noinclude><br />
{{documentation}}<br />
</noinclude></div>
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