The Neumann-Siebenmann invariant and Seifert surgery

DOI10.1007/S00209-005-0764-2zbMath1074.57009OpenAlexW2075909179MaRDI QIDQ1779883

Masaaki Ue

Publication date: 2 June 2005

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-005-0764-2

zbMATH Keywords

spin structurehomology sphereNeumann-Siebenmann invariantSeifert manifoldFukumoto-Fukura invariant

Mathematics Subject Classification ID

Related Items (5)

Smoothly embedding Seifert fibered spaces in 𝑆⁴ ⋮ The \({\bar\mu}\)-invariant of Seifert fibered homology spheres and the Dirac operator ⋮ Homology spheres with E_8-fillings and arbitrarily large correction terms ⋮ Embedding Seifert manifolds in 𝑆⁴ ⋮ CYCLIC BRANCHED COVERINGS OF BRIESKORN SPHERES BOUNDING ACYCLIC 4-MANIFOLDS

Cites Work

• A proof of the finite filling conjecture
• Small Seifert-fibered Dehn surgery on hyperbolic knots
• Fukumoto-Furuta invariants of plumbed homology 3-spheres.
• An integral lift of the Rochlin invariant of spherical 3-manifolds and finite surgery
• On primitive/Seifert-fibered constructions
• Homology 3-spheres bounding acyclic 4-manifolds
• On the intersection forms of spin \(4\)-manifolds bounded by spherical \(3\)-manifolds
• \(W\)-invariants and Neumann-Siebenmann invariants for Seifert homology 3-spheres

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