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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 wikiPageRevisionID "604262140".
• HOMFLY_polynomial hasPhotoCollection HOMFLY_polynomial.
• HOMFLY_polynomial id "p/j130040".
• HOMFLY_polynomial title "Jones-Conway polynomial".
• HOMFLY_polynomial subject Category:Knot_theory.
• HOMFLY_polynomial subject Category:Polynomials.
• HOMFLY_polynomial type Abstraction100002137.
• HOMFLY_polynomial type Function113783816.
• HOMFLY_polynomial type MathematicalRelation113783581.
• HOMFLY_polynomial type Polynomial105861855.
• HOMFLY_polynomial type Polynomials.
• HOMFLY_polynomial type Relation100031921.
• 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 label "HOMFLY多項式".
• HOMFLY_polynomial label "ホンフリー多項式".
• 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_polynomial.
• HOMFLY_polynomial wasDerivedFrom HOMFLY_polynomial?oldid=604262140.
• HOMFLY_polynomial depiction Skein_(HOMFLY).svg.
• HOMFLY_polynomial isPrimaryTopicOf HOMFLY_polynomial.