Fibered simple knots

DOI10.1016/j.aim.2022.108588zbMath1505.57007arXiv2106.08485OpenAlexW4288032488MaRDI QIDQ2172223

Joshua Evan Greene, John Luecke

Publication date: 15 September 2022

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

Full work available at URL: https://arxiv.org/abs/2106.08485

zbMATH Keywords

Alexander polynomialEuclidean algorithmlens spacesimple knotbranched surfacerace track problem

Mathematics Subject Classification ID

Knot theory (57K10) General topology of 3-manifolds (57K30)

Cites Work

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• Some knots in \(S^1 \times S^2\) with lens space surgeries
• Heegaard Floer correction terms and rational genus bounds
• Incompressible branched surfaces
• Trees, valuations, and the Bieri-Neumann-Strebel invariant
• The lens space realization problem
• L-space surgeries, genus bounds, and the cabling conjecture
• On knot Floer homology and lens space surgeries
• On Floer homology and the Berge conjecture on knots admitting lens space surgeries
• The Alexander polynomial of a 3-manifold and the Thurston norm on cohomology1
• Grid Diagrams for Lens Spaces and Combinatorial Knot Floer Homology
• Null surgery on knots in L-spaces
• A spanning tree model for the Heegaard Floer homology of a branched double-cover

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