Infinitely Many Knots With NonIntegral Trace

DOI10.1080/10586458.2021.1980461zbMath1522.57019arXiv2009.01481OpenAlexW3206875774MaRDI QIDQ6074289

Alan W. Reid, Nicholas Rouse

Publication date: 19 September 2023

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.01481

zbMATH Keywords

hyperbolic knotclosed embedded essential surfacenonintegral trace

Mathematics Subject Classification ID

Knot theory (57K10) Hyperbolic 3-manifolds (57K32)

Cites Work

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• Closed incompressible surfaces in alternating knot and link complements
• Modular Las Vegas algorithms for polynomial absolute factorization
• Incompressibility of surfaces in surgered 3-manifolds
• Almost alternating links
• Examples of non-trivial roots of unity at ideal points of hyperbolic 3-manifolds
• Counting essential surfaces in \(3\)-manifolds
• Cyclotomic Diophantine problems (Hilbert irreducibility and invariant sets for polynomial maps)
• Non-L-space integral homology 3-spheres with no nice orderings
• Algebraic invariants, mutation, and commensurability of link complements
• On periodic knots
• On knot Floer homology and lens space surgeries
• Computing Arithmetic Invariants of 3-Manifolds
• Cyclotomic polynomials at roots of unity
• Computing closed essential surfaces in knot complements
• THE A-POLYNOMIAL n-TUPLE OF A LINK AND HYPERBOLIC 3-MANIFOLDS WITH NON-INTEGRAL TRACES
• Dehn surgery on knots

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