Surgeries, sharp 4-manifolds and the Alexander polynomial

DOI10.2140/agt.2021.21.2649zbMath1489.57005arXiv1412.0572OpenAlexW3209806543MaRDI QIDQ2667206

Duncan McCoy

Publication date: 24 November 2021

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.0572

zbMATH Keywords

Dehn surgeryAlexander polynomialgenustorus knotHeegaard Floer homologycharacterizing slopessharp 4-manifold

Mathematics Subject Classification ID

Knot theory (57K10) Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.) (57K18)

Related Items (3)

Characterizing slopes for torus knots, II ⋮ Characterizing slopes for the -pretzel knot ⋮ Dehn surgery on knots—tracing the evolution of research

Cites Work

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• Holomorphic disks and genus bounds
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• The lens space realization problem
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• Bounds on alternating surgery slopes
• Characterizing slopes for torus knots
• Donaldson's theorem, Heegaard Floer homology, and knots with unknotting number one
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• Elementary surgery along a torus knot
• On knot Floer homology and lens space surgeries
• Monopoles and lens space surgeries
• Non-integer surgery and branched double covers of alternating knots
• Deficiency Symmetries of Surgeries in S3
• Three dimensional manifolds, Kleinian groups and hyperbolic geometry

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