Homology Cobordisms, Link Concordances, and Hyperbolic 3-Manifolds

DOI10.2307/1999315zbMath0532.57006OpenAlexW4248292347MaRDI QIDQ3314586

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Publication date: 1983

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1999315

zbMATH Keywords

concordant to a knot whose exterior is hyperbolicconcordant to prime knotshomology cobordant oriented 3-manifoldshomology cobordant to a hyperbolic 3-manifold

Mathematics Subject Classification ID

Related Items (18)

Homology cobordism and Seifert fibered $3$-manifolds ⋮ Homology of finite K-area ⋮ Cosets of monodromies and quantum representations ⋮ Equivariant hyperbolization of 3-manifolds via homology cobordisms ⋮ The linking pairings of orientable Seifert manifolds ⋮ A survey of the homology cobordism group ⋮ Abelian quotients of monoids of homology cylinders ⋮ Homology cobordism, knot concordance, and Heegaard Floer homology ⋮ Concordance of Seifert surfaces ⋮ Excellent 1-manifolds in compact 3-manifolds ⋮ Hyperbolic, fibred links and fibre-concordances ⋮ Concordances to prime hyperbolic virtual knots ⋮ Concordances from differences of torus knots to $L$-space knots ⋮ On the intersection ring of graph manifolds ⋮ Johnson-Morita theory in mapping class groups and monoids of homology cobordisms of surfaces ⋮ Irreducible 3-manifolds that cannot be obtained by 0-surgery on a knot ⋮ Concordance and mutation ⋮ On the quotient of the homology cobordism group by Seifert spaces

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