State invariants of 2-bridge knots

DOI10.1142/S0218216518500165zbMath1385.57007arXiv1708.00916OpenAlexW2744433295MaRDI QIDQ4606545

Vincent Longo, Cynthia L. Curtis

Publication date: 8 March 2018

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

Full work available at URL: https://arxiv.org/abs/1708.00916

zbMATH Keywords

signatureAlexander polynomial2-bridge knotstate polynomialstate surfacestate signature

Mathematics Subject Classification ID

Cites Work

• A classification of spanning surfaces for alternating links
• Incompressible surfaces in 2-bridge knot complements
• On the signature of a link
• Ideal points and incompressible surfaces in two-bridge knot complements
• 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
• Crosscap numbers of 2-bridge knots
• THE SL₂(ℂ) CASSON INVARIANT FOR SEIFERT FIBERED HOMOLOGY SPHERES AND SURGERIES ON TWIST KNOTS
• Repeated boundary slopes for 2-bridge knots
• Splicing and the $SL_2({\mathbb C})$ Casson invariant
• Dehn surgery on knots
• An intersection theory count of the \(\text{SL}_2({\mathbb C})\)-representations of the fundamental group of a \(3\)-manifold

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