Polynomial invariants of 2-bridge knots through 22 crossings

Taizo Kanenobu, Toshio Sumi

Type: Article

Publication Date: 1993-01-01

Citations: 9

DOI: https://doi.org/10.1090/s0025-5718-1993-1176711-4

Abstract

We calculate the homfly, Kauffman, Jones, Q, and Conway polynomials of 2-bridge knots through 22 crossings and list all the pairs sharing the same polynomial invariants.

Locations

Mathematics of Computation - View - PDF

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Action	Title	Year	Authors
+ PDF Chat	Jones rational coincidences	2023	R. J. Lawrence Ori Rosenstein
+ PDF Chat	On the HOMFLY polynomial of 4-plat presentations of knots	2016	Bo-hyun Kwon
+ PDF Chat	Enumeration of Algebraic Tangles with Applications to Theta-curves and Handcuff Graphs	2008	Hiromasa Moriuchi
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+	On the HOMFLY polynomial of 4-plat presentations of knots	2013	Bo-hyun Kwon
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+ PDF Chat	The fourth Skein Module and the Montesinos-Nakanishi Conjecture for 3-algebraic links	2001	Józef H. Przytycki Tatsuya Tsukamoto
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Works Cited by This (24)

Action	Title	Year	Authors
+	An enumeration of knots and links, and some of their algebraic properties	1970	James Conway
+	Examples on polynomial invariants of knots and links. II	1989	Taizo Kanenobu
+	Knots and Links	1976	Dale Rolfsen
+	A polynomial invariant for unoriented knots and links	1986	Robert Brandt W. B. R. Lickorish Kenneth C. Millett
+ PDF Chat	On the degree of the Brandt-Lickorish-Millett-Ho polynomial of a link	1987	Mark E. Kidwell
+ PDF Chat	Jones and 𝑄 polynomials for 2-bridge knots and links	1990	Taizo Kanenobu
+ PDF Chat	On the highest degree of absolute polynomials of alternating links	1987	Tetsuo Miyauchi
+	Relations between the Jones andQ polynomials for 2-bridge and 3-braid links	1989	Taizo Kanenobu
+	A polynomial invariant of oriented links	1987	W. B. R. Lickorish Kenneth C. Millett
+	Jones polynomials and classical conjectures in knot theory	1987	Kunio Murasugi