HOMFLY polynomial

two-variable knot polynomial, generalizing the Jones and Alexander polynomials
Thing knot_polynomial Q996437
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HOMFLY polynomial

Summary

HOMFLY polynomial is a knot polynomial[1]. It draws 61 Wikipedia views per month (knot_polynomial category, ranking #2 of 4).[2]

Key Facts

  • HOMFLY polynomial is credited with the discovery of Adrian Ocneanu[3].
  • HOMFLY polynomial is credited with the discovery of Kenneth Millett[4].
  • HOMFLY polynomial is credited with the discovery of Peter J. Freyd[5].
  • HOMFLY polynomial is credited with the discovery of W. B. R. Lickorish[6].
  • HOMFLY polynomial is credited with the discovery of Józef Przytycki[7].
  • HOMFLY polynomial is credited with the discovery of Paweł Traczyk[8].
  • HOMFLY polynomial's instance of is recorded as knot polynomial[9].
  • Jim Hoste is named after HOMFLY polynomial[10].
  • Adrian Ocneanu is named after HOMFLY polynomial[11].
  • Kenneth Millett is named after HOMFLY polynomial[12].
  • Peter J. Freyd is named after HOMFLY polynomial[13].
  • W. B. R. Lickorish is named after HOMFLY polynomial[14].
  • David N. Yetter is named after HOMFLY polynomial[15].
  • HOMFLY polynomial's time of discovery or invention is recorded as +1985-00-00T00:00:00Z[16].
  • HOMFLY polynomial's Freebase ID is recorded as /m/040mjs[17].
  • HOMFLY polynomial's defining formula is recorded as P( \mathrm{unknot} ) = 1,[18].
  • HOMFLY polynomial's MathWorld ID is recorded as HOMFLYPolynomial[19].
  • HOMFLY polynomial's nLab ID is recorded as HOMFLY-PT polynomial[20].
  • HOMFLY polynomial's maintained by WikiProject is recorded as WikiProject Mathematics[21].
  • HOMFLY polynomial's Microsoft Academic ID is recorded as 144243451[22].
  • HOMFLY polynomial's OpenAlex ID is recorded as C144243451[23].

Body

Works and Contributions

Credited discoveries include Adrian Ocneanu[3], a mathematician[24], b. 2000[25], of Romania[26]; Kenneth Millett[4], a mathematician[27], b. 1941[28], of United States[29], awarded the Fellow of the American Association for the Advancement of Science[30]; Peter J. Freyd[5], a mathematician[31], b. 1936[32], of United States[33], awarded the Fellow of the American Mathematical Society[34], specialised in category theory[35]; W. B. R. Lickorish[6], a mathematician[36], b. 1935[37], of United Kingdom[38], awarded the Fellow of the American Mathematical Society[39], specialised in topology[40]; Józef Przytycki[7], a mathematician[41], b. 1953[42], of Poland[43], specialised in topology[44]; and Paweł Traczyk[8], a mathematician[45], b. 2000[46], of Poland[47], specialised in knot theory[48].

Why It Matters

HOMFLY polynomial draws 61 Wikipedia views per month (knot_polynomial category, ranking #2 of 4).[2] It has Wikipedia articles in 8 language editions, a strong signal of global cultural recognition.[49] It is known by 15 alternative names across languages and contexts.[50]

References

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

Direct Wikidata claims

  1. [9] . wikidata.org.
  2. [3] . wikidata.org.
  3. [4] . wikidata.org.
  4. [5] . wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . wikidata.org.
  18. [20] . wikidata.org.
  19. [21] . wikidata.org.
  20. [22] . wikidata.org.
  21. [23] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Inline context (facts about related entities)

  1. [24] . Wikidata. wikidata.org. → on this site
  2. [25] . Wikidata. wikidata.org. → on this site
  3. [26] . Wikidata. wikidata.org. → on this site
  4. [27] . Wikidata. wikidata.org. → on this site
  5. [28] . Wikidata. wikidata.org. → on this site
  6. [29] . Wikidata. wikidata.org. → on this site
  7. [30] . Wikidata. wikidata.org. → on this site
  8. [31] . Wikidata. wikidata.org. → on this site
  9. [32] . Wikidata. wikidata.org. → on this site
  10. [33] . Wikidata. wikidata.org. → on this site
  11. [34] . Wikidata. wikidata.org. → on this site
  12. [35] . Wikidata. wikidata.org. → on this site
  13. [36] . Wikidata. wikidata.org. → on this site
  14. [37] . Wikidata. wikidata.org. → on this site
  15. [38] . Wikidata. wikidata.org. → on this site
  16. [39] . Wikidata. wikidata.org. → on this site
  17. [40] . Wikidata. wikidata.org. → on this site
  18. [41] . Wikidata. wikidata.org. → on this site
  19. [42] . Wikidata. wikidata.org. → on this site
  20. [43] . Wikidata. wikidata.org. → on this site
  21. [44] . Wikidata. wikidata.org. → on this site
  22. [45] . Wikidata. wikidata.org. → on this site
  23. [46] . Wikidata. wikidata.org. → on this site
  24. [47] . Wikidata. wikidata.org. → on this site
  25. [48] . Wikidata. wikidata.org. → on this site

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [49] . Wikidata sitelinks. wikidata.org.
  3. [50] . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). HOMFLY polynomial. Retrieved May 3, 2026, from https://4ort.xyz/entity/homfly-polynomial
MLA “HOMFLY polynomial.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/homfly-polynomial.
BibTeX @misc{4ortxyz_homfly-polynomial_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{HOMFLY polynomial}}, year = {2026}, url = {https://4ort.xyz/entity/homfly-polynomial}, note = {Accessed: 2026-05-03}}
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