Repeated boundary slopes for 2-bridge knots

DOI10.1142/S0218216515500686zbMath1339.57008arXiv1502.04610OpenAlexW2963691571MaRDI QIDQ3465787

William Franczak, Ryan J. Manheimer, Cynthia L. Curtis, Randolph J. Leiser

Publication date: 22 January 2016

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.04610

zbMATH Keywords

continued fractionessential surfaceboundary slopeknot complementFibonacci numberbranched surface\(2\)-bridge knot

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Continued fractions (11A55) Low-dimensional topology of special (e.g., branched) coverings (57M12) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (1)

State invariants of 2-bridge knots

Cites Work

• Guts of surfaces and the colored Jones polynomial
• 2-bridge knot boundary slopes: Diameter and genus
• Plane curves associated to character varieties of 3-manifolds
• A proof of the finite filling conjecture
• The \(SL(2, \mathbb C)\) Casson invariant for Dehn surgeries on two-bridge knots
• THE JONES POLYNOMIAL AND BOUNDARY SLOPES OF ALTERNATING KNOTS
• THE SL₂(ℂ) CASSON INVARIANT FOR SEIFERT FIBERED HOMOLOGY SPHERES AND SURGERIES ON TWIST KNOTS
• Jones polynomials, volume and essential knot surfaces: a survey

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