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knot invariant

function of a knot that takes the same value for equivalent knots
Class type of: invariant, link invariant Q1862434

Facts

4 properties
Subclass of
invariant, link invariant[1][2]
Invariant under
ambient isotopy[5]
Maintained by WikiProject
WikiProject Mathematics[4]
Studied by
knot theory[3]
🏷️ Also known as
en knot invariant de Knoteninvariante es invariante de nudos fr Invariant de nœuds he שמורות של קשרים hu csomóinvariáns ja 結び目不変量 ko 매듭 불변량 nl knoopinvariant pl niezmiennik węzła pt invariante de nó pt nó invariante pt nó invariável ru инвариант узла uk інваріант вузла zh 纽结不变量 zh-hans 扭结不变量 zh-hans 纽结不变量 zh-hant 扭結不變數 zh-hant 紐結不變數
🔖 Identifiers · 6
OpenAlex ID
C36794415
Freebase ID
/m/01692f
MathWorld ID
KnotInvariant
Microsoft Academic ID (discontinued)
36794415
NLab ID
knot invariant
Topic's main category
Category:Knot invariants

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🔗 Connections
Subtypes 3
knot group, knot polynomial, Quantum invariant
Examples 2
crossing number, hyperbolic volume
Invariant under 1
ambient isotopy
Maintained by WikiProject 1
WikiProject Mathematics
Studied by 1
knot theory
Subclass of 1
invariant
Topic's main category 1
Category:Knot invariants
← Category's main topic 1
Category:Knot invariants
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Related Entities

knot theory

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [1] ↑ . wikidata.org.
  2. [2] ↑ . wikidata.org.
  3. [3] ↑ . wikidata.org.
  4. [4] ↑ . wikidata.org.
  5. [5] ↑ . wikidata.org.

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APA 4ort.xyz Knowledge Graph. (2026). knot invariant. Retrieved November 8, 2026, from https://4ort.xyz/entity/knot-invariant
MLA “knot invariant.” 4ort.xyz Knowledge Graph, 4ort.xyz, 8 Nov. 2026, https://4ort.xyz/entity/knot-invariant.
BibTeX @misc{4ortxyz_knot-invariant_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{knot invariant}}, year = {2026}, url = {https://4ort.xyz/entity/knot-invariant}, note = {Accessed: 2026-11-08}}
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