The strong slope conjecture for twisted generalized Whitehead doubles
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Publication:2224470
DOI10.4171/QT/242zbMath1471.57003arXiv1811.11673OpenAlexW3092279023WikidataQ123111152 ScholiaQ123111152MaRDI QIDQ2224470
Kimihiko Motegi, Kenneth L. Baker, Toshie Takata
Publication date: 3 February 2021
Published in: Quantum Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.11673
boundary slopecolored Jones polynomialJones slopeWhitehead doubleslope conjecturestrong slope conjecture
Finite-type and quantum invariants, topological quantum field theories (TQFT) (57K16) Knot theory (57K10)
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The strong slope conjecture and torus knots ⋮ Jones diameter and crossing number of 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
Cites Work
- Unnamed Item
- Quadratic integer programming and the slope conjecture
- Guts of surfaces and the colored Jones polynomial
- The degree of a \(q\)-holonomic sequence is a quadratic quasi-polynomial
- The Jones slopes of a knot
- Knot cabling and the degree of the colored Jones polynomial
- Incompressible surfaces in 2-bridge knot complements
- A simple proof of the Murasugi and Kauffman theorems on alternating links
- On the boundary curves of incompressible surfaces
- Toroidally alternating knots and links
- 3-valent graphs and the Kauffman bracket
- Skein-theoretical derivation of some formulas of Habiro
- The colored Jones function is \(q\)-holonomic
- The Jones polynomial and graphs on surfaces
- Slopes and colored Jones polynomials of adequate knots
- Computing boundary slopes of 2-bridge links
- THE COLORED JONES POLYNOMIALS OF DOUBLES OF KNOTS
- The Space of Incompressible Surfaces in a 2-Bridge Link Complement
- The coloured Jones function and Alexander polynomial for torus knots
- A Jones slopes characterization of adequate knots
- The slope conjecture for graph knots
- ESSENTIAL STATE SURFACES FOR KNOTS AND LINKS