A higher-order genus invariant and knot Floer homology

DOI10.1090/S0002-9939-10-10263-9zbMath1195.57031arXiv0901.2095OpenAlexW2087993237MaRDI QIDQ3566687

Peter Horn

Publication date: 8 June 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.2095

Mathematics Subject Classification ID

Related Items (1)

Counterexamples to Kauffman's conjectures on slice knots

Uses Software

• KnotInfo

Cites Work

• Unnamed Item
• Derivatives of knots and second-order signatures
• The classification of punctured-torus groups
• Knot concordance, Whitney towers and \(L^2\)-signatures
• Eta invariants as sliceness obstructions and their relation to Casson-Gordon invariants
• Bounds on the von Neumann dimension of \(L^ 2\)-cohomoloy and the Gauss- Bonnet theorem for open manifolds
• Holomorphic disks and knot invariants
• Holomorphic disks and genus bounds
• Knot Floer homology and Seifert surfaces
• Knot Floer homology of Whitehead doubles
• Isotopy types of knot spanning surfaces
• The first-order genus of a knot
• Homogeneous Links
• Knot signature functions are independent
• An obstruction to slicing knots using the eta invariant

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