The topological slice genus of satellite knots

DOI10.2140/agt.2022.22.709zbMath1498.57003arXiv1908.03760OpenAlexW4290802737WikidataQ114045608 ScholiaQ114045608MaRDI QIDQ2163646

Allison N. Miller, Juanita Pinzón-Caicedo, Peter Feller

Publication date: 10 August 2022

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

Full work available at URL: https://arxiv.org/abs/1908.03760

zbMATH Keywords

knot concordancesatellite knots4-dimensional genus

Mathematics Subject Classification ID

Cobordism and concordance in topological manifolds (57N70) Knot theory (57K10)

Related Items (2)

A note on the concordance \(\mathbb{Z}\)-genus ⋮ Homomorphism obstructions for satellite maps

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Knot 4-genus and the rank of classes in \(W(\mathbb Q(t))\)
• Intersection theory of manifolds with operators with applications to knot theory
• The topology of four-dimensional manifolds
• Some topologically locally-flat surfaces in the complex projective plane
• On the slice genus of knots
• On classical upper bounds for slice genera
• The geometry of the knot concordance space
• Two-solvable and two-bipolar knots with large four-genera
• Null-homologous twisting and the algebraic genus
• Knot cobordism groups in codimension two
• Knoten und Vollringe
• Bordered Heegaard Floer homology and the tau-invariant of cable knots
• NONSURJECTIVE SATELLITE OPERATORS AND PIECEWISE-LINEAR CONCORDANCE
• On the topological 4-genus of torus knots
• Quasipositivity as an obstruction to sliceness
• A Seifert-matrix interpretation of Cappell and Shaneson's approach to link cobordisms
• Cobordism of Knots and Blanchfield Duality
• Quasipositive plumbing (constructions of quasipositive knots and links, V)
• A calculation of Blanchfield pairings of 3-manifolds and knots
• Winding number $m$ and $-m$ patterns acting on concordance

This page was built for publication: The topological slice genus of satellite knots