Shake genus and slice genus

DOI10.2140/gt.2019.23.2665zbMath1464.57005arXiv1803.09834OpenAlexW3099777771WikidataQ126992940 ScholiaQ126992940MaRDI QIDQ2331024

Lisa Piccirillo

Publication date: 24 October 2019

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

Full work available at URL: https://arxiv.org/abs/1803.09834

zbMATH Keywords

slice genussatellite knots\(s\)-invariantknot traceshake genus

Mathematics Subject Classification ID

Knot theory (57K10) General topology of 4-manifolds (57K40)

Related Items (9)

Skein lasagna modules for 2-handlebodies ⋮ Knot Floer homology of satellite knots with \((1, 1)\) patterns ⋮ From zero surgeries to candidates for exotic definite 4‐manifolds ⋮ The \(\mathbb{Z}\)-genus of boundary links ⋮ Trace embeddings from zero surgery homeomorphisms ⋮ Exotic Mazur manifolds and knot trace invariants ⋮ Heegaard Floer homology and concordance bounds on the Thurston norm ⋮ A FAST ALGORITHM FOR CALCULATING S-INVARIANTS ⋮ Homomorphism obstructions for satellite maps

Cites Work

• The stable 4-genus of knots
• Khovanov homology and the slice genus
• Slice knots and property R
• Knot concordance, Whitney towers and \(L^2\)-signatures
• The geometry of the knot concordance space
• Some well-disguised ribbon knots
• A categorification of the Jones polynomial
• Shake slice and shake concordant knots
• Knot concordance and homology cobordism
• Annulus twist and diffeomorphic 4-manifolds
• NONSURJECTIVE SATELLITE OPERATORS AND PIECEWISE-LINEAR CONCORDANCE
• Manifolds with multiple knot-surgery descriptions
• On 2-dimensional homology classes of 4-manifolds
• Knot traces and concordance
• KNOTS AND EXOTIC SMOOTH STRUCTURES ON 4-MANIFOLDS

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