L-space knots

DOI10.1112/S0010437X17007989zbMath1396.57007arXiv1610.04810OpenAlexW3123780140MaRDI QIDQ3176190

Sam Lewallen, Joshua Evan Greene, Faramarz Vafaee

Publication date: 19 July 2018

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.04810

zbMATH Keywords

Floer homologyDehn surgeryL-space(1, 1) knot1-bridge braid

Mathematics Subject Classification ID

Related Items (8)

Framed instanton homology of surgeries on L-space knots ⋮ Instanton Floer homology, sutures, and Euler characteristics ⋮ Knot Floer homology of satellite knots with \((1, 1)\) patterns ⋮ Constrained knots in lens spaces ⋮ n-Bridge braids and the braid index ⋮ Non-left-orderable surgeries on 1-bridge braids ⋮ Derivation of Schubert normal forms of 2-bridge knots from (1,1)-diagrams ⋮ Knot Floer homology and relative adjunction inequalities

Cites Work

• Unnamed Item
• Knot commensurability and the Berge conjecture
• Berge-Gabai knots and \(L\)-space satellite
• 1-bridge braids in solid tori
• Floer simple manifolds and L-space intervals
• Holomorphic disks and knot invariants
• The classification of Dehn fillings on the outer torus of a 1-bridge braid exterior which produces solid tori
• The knots in \(D^ 2\times S^ 1\) which have nontrivial Dehn surgeries that yield \(D^ 2\times S^ 1\)
• On knot Floer homology and lens space surgeries
• Knot Floer homology of \((1,1)\)-knots
• On Floer homology and the Berge conjecture on knots admitting lens space surgeries
• On the Knot Floer Homology of Twisted Torus Knots
• A Survey of Heegaard Floer Homology
• Dehn surgery on knots
• Notes on tangles, 2-handle additions and exceptional Dehn fillings.

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