Knot Floer homology of satellite knots with \((1, 1)\) patterns

DOI10.1007/s00029-023-00859-6arXiv1912.07914MaRDI QIDQ6132655

Wenzhao Chen

Publication date: 14 July 2023

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.07914

zbMATH Keywords

knotHeegaard Floer homologyknot Floer homology

Mathematics Subject Classification ID

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

Cites Work

• Some bounds for the knot Floer \(\tau \)-invariant of satellite knots
• Berge-Gabai knots and \(L\)-space satellite
• A generalized bridge number for links in 3-manifolds
• Holomorphic disks and topological invariants for closed three-manifolds
• Holomorphic disks and knot invariants
• Holomorphic disks and genus bounds
• Satellites of infinite rank in the smooth concordance group
• Shake genus and slice genus
• Knot Floer homology of Whitehead doubles
• Cables of thin knots and bordered Heegaard Floer homology
• Bordered Heegaard Floer homology and the tau-invariant of cable knots
• NONSURJECTIVE SATELLITE OPERATORS AND PIECEWISE-LINEAR CONCORDANCE
• L-space knots
• The Ozsváth-Szabó and Rasmussen concordance invariants are not equal
• Bordered Heegaard Floer homology
• On two-bridge knots and a conjecture of Hirasawa–Murasugi
• On Knot Floer Homology and Cabling: 2
• Homomorphism obstructions for satellite maps
• Heegaard Floer homology for manifolds with torus boundary: properties and examples
• Cabling in terms of immersed curves

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