The slope conjecture for graph knots

DOI10.1017/S0305004116000566zbMath1375.57017arXiv1501.01105WikidataQ122999312 ScholiaQ122999312MaRDI QIDQ5360438

Toshie Takata, Kimihiko Motegi

Publication date: 28 September 2017

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.01105

zbMATH Keywords

boundary slopesGromov volumegraph knotscoloured Jones polynomial

Mathematics Subject Classification ID

Related Items (8)

Normal and Jones surfaces of knots ⋮ The strong slope conjecture and torus knots ⋮ The strong slope conjecture for twisted generalized Whitehead doubles ⋮ A result on the Slope conjectures for 3-string Montesinos knots ⋮ Remarks on Jones Slopes and surfaces of knots ⋮ Cancellations in the degree of the colored Jones polynomial ⋮ The strong slope conjecture for cablings and connected sums ⋮ The slope conjecture for Montesinos knots

Cites Work

• Quadratic integer programming and the slope conjecture
• Slopes for pretzel knots
• The Jones slopes of a knot
• The diameter of the set of boundary slopes of a knot
• Knot cabling and the degree of the colored Jones polynomial
• The Gromov invariant of links
• On the boundary curves of incompressible surfaces
• The colored Jones function is \(q\)-holonomic
• Incompressibility criteria for spun-normal surfaces
• Slopes and colored Jones polynomials of adequate knots
• Dehn Surgery and Satellite Knots
• Transformation Groups and Natural Bundles
• The coloured Jones function and Alexander polynomial for torus knots

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