Lens spaces, rational balls and the ribbon conjecture

DOI10.2140/gt.2007.11.429zbMath1185.57006arXivmath/0701610OpenAlexW2039940003WikidataQ30052539 ScholiaQ30052539MaRDI QIDQ873946

Paolo Lisca

Publication date: 21 March 2007

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

Full work available at URL: https://arxiv.org/abs/math/0701610

zbMATH Keywords

bound2-bridge knotintersection forms of definite 4-manifolds

Mathematics Subject Classification ID

Related Items (54)

Dihedral branched covers of four-manifolds ⋮ Symmetric union presentations for 2-bridge ribbon knots ⋮ Non-slice 3-stranded pretzel knots ⋮ A note on graphs and rational balls ⋮ Handle decompositions of rational homology balls and Casson–Gordon invariants ⋮ The topological sliceness of 3-strand pretzel knots ⋮ Slice implies mutant ribbon for odd 5-stranded pretzel knots ⋮ Heegaard Floer homology of Matsumoto's manifolds ⋮ The Goeritz matrix and signature of a two bridge knot ⋮ Rational homology cobordisms of plumbed manifolds ⋮ Equivariant 4‐genera of strongly invertible and periodic knots ⋮ On slice alternating 3-braid closures ⋮ Four-dimensional manifolds constructed by lens space surgeries of distinct types ⋮ Slice knots and knot concordance ⋮ A survey of the homology cobordism group ⋮ Classification of torus bundles that bound rational homology circles ⋮ On the nonorientable 4-genus of double twist knots ⋮ A note on the topological sliceness of some 2-bridge knots ⋮ Surgeries on iterated torus knots bounding rational homology 4-balls ⋮ Remarks on the minimalities of two-bridge knots in the ribbon concordance poset ⋮ Stein fillable Seifert fibered 3-manifolds ⋮ Homology cobordism, knot concordance, and Heegaard Floer homology ⋮ The lens space realization problem ⋮ A note on applications of the d-invariant and Donaldson's theorem ⋮ The classification of rational subtangle replacements between rational tangles ⋮ On 3–braid knots of finite concordance order ⋮ Sliceness of alternating pretzel knots and links ⋮ Rational cobordisms and integral homology ⋮ Donaldson's theorem, Heegaard Floer homology, and knots with unknotting number one ⋮ EQUIVALENCE OF SYMMETRIC UNION DIAGRAMS ⋮ NULLIFICATION OF KNOTS AND LINKS ⋮ On the slice-ribbon conjecture for Montesinos knots ⋮ On satellite knots with symmetric union presentations ⋮ Spherical 3-manifolds bounding rational homology balls ⋮ On the slice-ribbon conjecture for pretzel knots ⋮ Knot concordance and heegaard floer homology invariants in branched covers ⋮ Sums of Lens spaces bounding rational balls ⋮ On slicing invariants of knots ⋮ Using rational homology circles to construct rational homology balls ⋮ Concordance groups of links ⋮ Extending fibrations of knot complements to ribbon disk complements ⋮ Genera of knots in the complex projective plane ⋮ Ribbon cobordisms between lens spaces ⋮ Branched covers bounding rational homology balls ⋮ Knots and 4-manifolds ⋮ On composite knots with symmetric union presentations ⋮ A bound for the Casson-Walker invariant of rational homology null cobordant lens spaces ⋮ Embedding Seifert manifolds in 𝑆⁴ ⋮ Connected Floer homology of covering involutions ⋮ Complementary legs and rational balls ⋮ Lattices and Correction Terms ⋮ CYCLIC BRANCHED COVERINGS OF BRIESKORN SPHERES BOUNDING ACYCLIC 4-MANIFOLDS ⋮ The symplectic isotopy problem for rational cuspidal curves ⋮ Distinguishing mutant pretzel knots in concordance

Cites Work

• Unnamed Item
• Rational homology spheres and the four-ball genus of knots
• Rational homology cobordisms of spherical space forms
• Some homology lens spaces which bound rational homology balls
• Algebraic surfaces with k*-action
• The orientation of Yang-Mills moduli spaces and 4-manifold topology
• Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary
• Deformationen von Quotientensingularitäten (nach zyklischen Gruppen)
• Knots

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