On the Jones polynomial of closed 3-braids

DOI10.1007/BF01389053zbMath0588.57005OpenAlexW2080878200MaRDI QIDQ1073393

Joan S. Birman

Publication date: 1985

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143255

zbMATH Keywords

Alexander polynomialJones polynomialsamphicheiral3-braids

Mathematics Subject Classification ID

Related Items (27)

Rational Knots and a Theorem of Kanenobu ⋮ The classification of partially symmetric 3-braid links ⋮ The Jones polynomials of three-bridge knots via Chebyshev knots and billiard table diagrams ⋮ Knots, links, braids and exactly solvable models in statistical mechanics ⋮ Relations between the Jones and Q polynomials for 2-bridge and 3-braid links ⋮ An algorithm for calculating Jones polynomials ⋮ Quantum field theory and the Jones polynomial ⋮ Composite A,B,C,D-IRF-model invariants ⋮ Some calculations on link polynomials from 2-parameter quantum groups ⋮ An expression for the Homflypt polynomial and some applications ⋮ Algebra, topology and the discoveries of Vaughan Jones ⋮ The 2-variable polynomial of cable knots ⋮ Does the Jones Polynomial Detect Unknottedness? ⋮ Infinitely Many Knots with the Same Polynomial Invariant ⋮ A NOTE ON CLOSED 3-BRAIDS ⋮ On the Linear Representation of Braid Groups ⋮ On 3-braids and L-space knots ⋮ Linking numbers in three-manifolds ⋮ Coefficients and non-triviality of the Jones polynomial ⋮ Conway Algebras and Skein Equivalence of Links ⋮ On the Jones polynomial of quasi-alternating links ⋮ A note on the Jones polynomials of 3-braid links ⋮ Calculating Wadati-Deguchi-Akutsu \(N=3\) knot polynomials ⋮ A new obstruction of quasialternating links ⋮ A new polynomial invariant of knots and links ⋮ Determinants of twisted generalized hybrid weaving knots ⋮ On the crossing number of positive knots and braids and braid index criteria of Jones and Morton-Williams-Franks

Cites Work

• On the classification of three-braid links
• Infinitely many fibred knots having the same Alexander polynomial
• Über Verkettungsgruppen
• The Burau Representation is Unitary
• A polynomial invariant for knots via von Neumann algebras
• A new polynomial invariant of knots and links
• THE BRAID GROUP AND OTHER GROUPS

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