Knot traces and concordance

DOI10.1112/topo.12054zbMath1393.57010arXiv1702.03974OpenAlexW2609711522WikidataQ130041791 ScholiaQ130041791MaRDI QIDQ4637522

Lisa Piccirillo, Allison N. Miller

Publication date: 24 April 2018

Published in: Journal of Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.03974

zbMATH Keywords

surgeryDehn fillingslice knotknot concordancesatellite knotHeegaard-Floer homologyannulus presentationdualizable patterninvertible pattern

Mathematics Subject Classification ID

Surgery and handlebodies (57R65) Floer homology (57R58) Low-dimensional topology of special (e.g., branched) coverings (57M12) Cobordism and concordance in topological manifolds (57N70)

Related Items (12)

Notes on constructions of knots with the same trace ⋮ A cable knot and BPS-series ⋮ Slice knots and knot concordance ⋮ From zero surgeries to candidates for exotic definite 4‐manifolds ⋮ Exotic Mazur manifolds and knot trace invariants ⋮ A slicing obstruction from the \(10/8+4\) theorem ⋮ Knots with infinitely many non-characterizing slopes ⋮ Knots and 4-manifolds ⋮ Shake genus and slice genus ⋮ Getting a handle on the Conway knot ⋮ Homomorphism obstructions for satellite maps ⋮ The cobordism distance between a knot and its reverse

Cites Work

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• Satellite operators as group actions on knot concordance
• A construction of slice knots via annulus twists
• Filtering smooth concordance classes of topologically slice knots
• Fibered knots with the same 0-surgery and the slice-ribbon conjecture
• Slice knots and property R
• Twisted knot polynomials: inversion, mutation and concordance
• Knot concordance, Whitney towers and \(L^2\)-signatures
• Heegaard Floer homology and alternating knots
• Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary
• Some well-disguised ribbon knots
• Manifolds obtained by surgery on an infinite number of knots in \(S^{3}\)
• Heegaard-Zerlegungen der 3-Sphäre
• Classification of trisections and the Generalized Property R Conjecture
• Shake slice and shake concordant knots
• Knot concordance and homology cobordism
• Annulus twist and diffeomorphic 4-manifolds
• KNOTS WHICH ARE NOT CONCORDANT TO THEIR REVERSES
• Knots are Determined by Their Complements
• Manifolds with multiple knot-surgery descriptions
• On 2-dimensional homology classes of 4-manifolds
• Nonsimple, Ribbon Fibered Knots
• Waldhausen's Theorem

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