Sums of Lens spaces bounding rational balls

DOI10.2140/agt.2007.7.2141zbMath1185.57015arXiv0705.1950OpenAlexW3101589223MaRDI QIDQ2466710

Paolo Lisca

Publication date: 16 January 2008

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

Full work available at URL: https://arxiv.org/abs/0705.1950

zbMATH Keywords

2-bridge knotsLens spacesconnected sumsconcordance grouprational homology balls

Mathematics Subject Classification ID

Related Items (26)

The Goeritz matrix and signature of a two bridge knot ⋮ Rational homology cobordisms of plumbed manifolds ⋮ A survey of the homology cobordism group ⋮ Classification of torus bundles that bound rational homology circles ⋮ Von Neumann rho invariants and torsion in the topological knot concordance group ⋮ Surgeries on iterated torus knots bounding rational homology 4-balls ⋮ Remarks on the minimalities of two-bridge knots in the ribbon concordance poset ⋮ The lens space realization problem ⋮ A note on applications of the d-invariant and Donaldson's theorem ⋮ On 3–braid knots of finite concordance order ⋮ Rational cobordisms and integral homology ⋮ On the slice-ribbon conjecture for Montesinos knots ⋮ 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 ⋮ Concordance groups of links ⋮ The concordance genus of a knot. II. ⋮ On Seifert fibered spaces bounding definite manifolds ⋮ Ribbon cobordisms between lens spaces ⋮ LINEAR INDEPENDENCE IN THE RATIONAL HOMOLOGY COBORDISM GROUP ⋮ A bound for the Casson-Walker invariant of rational homology null cobordant lens spaces ⋮ Embedding Seifert manifolds in 𝑆⁴ ⋮ On negative-definite cobordisms among lens spaces of type \((m,1)\) and uniformization of four-orbifolds ⋮ Complementary legs and rational balls ⋮ A lower bound on the stable 4-genus of knots ⋮ Embeddings of 3-Manifolds in S⁴ from the Point of View of the 11-Tetrahedron Census

Cites Work

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• Lens spaces, rational balls and the ribbon conjecture
• Knot concordance and heegaard floer homology invariants in branched covers
• 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
• Deformationen von Quotientensingularitäten (nach zyklischen Gruppen)
• Order in the concordance group and Heegaard-Floer homology
• A Concordance Invariant from the Floer Homology of Double Branched Covers
• Knots

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