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- HOMFLY_polynomial abstract "In the mathematical field of knot theory, the HOMFLY polynomial, sometimes called the HOMFLY-PT polynomial or the generalized Jones polynomial, is a 2-variable knot polynomial, i.e. a knot invariant in the form of a polynomial of variables m and l. A central question in the mathematical theory of knots is whether two knot diagrams represent the same knot. One tool used to answer such questions is a knot polynomial, which is computed from a diagram of the knot and can be shown to be an invariant of the knot, i.e. diagrams representing the same knot have the same polynomial. The converse may not be true. The HOMFLY polynomial is one such invariant and it generalizes two polynomials previously discovered, the Alexander polynomial and the Jones polynomial both of which can be obtained by appropriate substitutions from HOMFLY. The HOMFLY polynomial is also a quantum invariant.The name HOMFLY combines the initials of its co-discoverers: Jim Hoste, Adrian Ocneanu, Kenneth Millett, Peter J. Freyd, W. B. R. Lickorish, and David N. Yetter. The addition of PT recognizes independent work carried out by Józef H. Przytycki and Paweł Traczyk.".
- HOMFLY_polynomial thumbnail Skein_(HOMFLY).svg?width=300.
- HOMFLY_polynomial wikiPageID "1039260".
- HOMFLY_polynomial wikiPageLength "3844".
- HOMFLY_polynomial wikiPageOutDegree "28".
- HOMFLY_polynomial wikiPageRevisionID "646414239".
- HOMFLY_polynomial wikiPageWikiLink Adrian_Ocneanu.
- HOMFLY_polynomial wikiPageWikiLink Alexander_polynomial.
- HOMFLY_polynomial wikiPageWikiLink Category:Knot_theory.
- HOMFLY_polynomial wikiPageWikiLink Category:Polynomials.
- HOMFLY_polynomial wikiPageWikiLink Chirality.
- HOMFLY_polynomial wikiPageWikiLink Composite_knot.
- HOMFLY_polynomial wikiPageWikiLink Connected_sum.
- HOMFLY_polynomial wikiPageWikiLink Jones_polynomial.
- HOMFLY_polynomial wikiPageWikiLink Józef_H._Przytycki.
- HOMFLY_polynomial wikiPageWikiLink Kenneth_Millett.
- HOMFLY_polynomial wikiPageWikiLink Knot_diagram.
- HOMFLY_polynomial wikiPageWikiLink Knot_invariant.
- HOMFLY_polynomial wikiPageWikiLink Knot_polynomial.
- HOMFLY_polynomial wikiPageWikiLink Knot_sum.
- HOMFLY_polynomial wikiPageWikiLink Knot_theory.
- HOMFLY_polynomial wikiPageWikiLink Louis_Kauffman.
- HOMFLY_polynomial wikiPageWikiLink Mathematics.
- HOMFLY_polynomial wikiPageWikiLink Octacube_(sculpture).
- HOMFLY_polynomial wikiPageWikiLink Peter_J._Freyd.
- HOMFLY_polynomial wikiPageWikiLink Polynomial.
- HOMFLY_polynomial wikiPageWikiLink Prime_knot.
- HOMFLY_polynomial wikiPageWikiLink Quantum_invariant.
- HOMFLY_polynomial wikiPageWikiLink Skein_relation.
- HOMFLY_polynomial wikiPageWikiLink W._B._R._Lickorish.
- HOMFLY_polynomial wikiPageWikiLink File:Skein_(HOMFLY).svg.
- HOMFLY_polynomial wikiPageWikiLinkText "HOMFLY polynomial".
- HOMFLY_polynomial wikiPageWikiLinkText "HOMFLY(PT) polynomial".
- HOMFLY_polynomial wikiPageWikiLinkText "HOMFLY-PT polynomial".
- HOMFLY_polynomial hasPhotoCollection HOMFLY_polynomial.
- HOMFLY_polynomial id "p/j130040".
- HOMFLY_polynomial title "Jones-Conway polynomial".
- HOMFLY_polynomial wikiPageUsesTemplate Template:Knot_Atlas.
- HOMFLY_polynomial wikiPageUsesTemplate Template:Knot_theory.
- HOMFLY_polynomial wikiPageUsesTemplate Template:MathWorld.
- HOMFLY_polynomial wikiPageUsesTemplate Template:Reflist.
- HOMFLY_polynomial wikiPageUsesTemplate Template:Springer.
- HOMFLY_polynomial subject Category:Knot_theory.
- HOMFLY_polynomial subject Category:Polynomials.
- HOMFLY_polynomial hypernym Polynomial.
- HOMFLY_polynomial type Type.
- HOMFLY_polynomial type Function.
- HOMFLY_polynomial type Polynomial.
- HOMFLY_polynomial type Type.
- HOMFLY_polynomial comment "In the mathematical field of knot theory, the HOMFLY polynomial, sometimes called the HOMFLY-PT polynomial or the generalized Jones polynomial, is a 2-variable knot polynomial, i.e. a knot invariant in the form of a polynomial of variables m and l. A central question in the mathematical theory of knots is whether two knot diagrams represent the same knot.".
- HOMFLY_polynomial label "HOMFLY polynomial".
- HOMFLY_polynomial sameAs HOMFLY-Polynom.
- HOMFLY_polynomial sameAs ホンフリー多項式.
- HOMFLY_polynomial sameAs m.040mjs.
- HOMFLY_polynomial sameAs Q996437.
- HOMFLY_polynomial sameAs Q996437.
- HOMFLY_polynomial sameAs HOMFLY多項式.
- HOMFLY_polynomial wasDerivedFrom HOMFLY_polynomial?oldid=646414239.
- HOMFLY_polynomial depiction Skein_(HOMFLY).svg.
- HOMFLY_polynomial isPrimaryTopicOf HOMFLY_polynomial.