\(W\)-invariants and Neumann-Siebenmann invariants for Seifert homology 3-spheres

DOI10.1016/S0166-8641(00)00103-6zbMath0991.57019OpenAlexW2017040262MaRDI QIDQ5951984

Masaaki Ue, Mikio Furuta, Yoshihiro Fukumoto

Publication date: 28 August 2002

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0166-8641(00)00103-6

zbMATH Keywords

plumbingcobordismspinreciprocity\(w\)-invariantDiracNeumann-Siebenmann invariantSeifert

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General low-dimensional topology (57M99) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15) (h)- and (s)-cobordism (57R80)

Related Items (15)

Pin(2)-Equivariant Seiberg-Witten Floer homology and the Triangulation Conjecture ⋮ A splitting theorem for the Seiberg-Witten invariant of a homology \(S^1\times S^3\) ⋮ Positive scalar curvature and homology cobordism invariants ⋮ A survey of the homology cobordism group ⋮ Toric modifications of cyclic orbifolds and an extended Zagier reciprocity for Dedekind sums ⋮ New trigonometric identities and generalized Dedekind sums ⋮ w-Invariants and the Fintushel–Stern Invariants for Plumbed Homology 3-Spheres ⋮ TOPOLOGICAL ORIGIN OF THE COUPLING CONSTANTS HIERARCHY IN KALUZA–KLEIN APPROACH ⋮ On the intersection forms of spin \(4\)-manifolds bounded by spherical \(3\)-manifolds ⋮ The Neumann-Siebenmann invariant and Seifert surgery ⋮ On the intersection forms of spin four-manifolds with boundary ⋮ The bounding genera and 𝑤-invariants ⋮ Pin(2)-equivariant Seiberg–Witten Floer homology of Seifert fibrations ⋮ The index of the spin\(^c\) Dirac operator on the weighted projective space and the reciprocity law of the Fourier-Dedekind sum ⋮ The \(E_{8}\)-boundings of homology spheres and negative sphere classes in \(E(1)\)

Cites Work

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• Seifert fibred homology 3-spheres and the Yang-Mills equations on Riemann surfaces with marked points
• The signature theorem for V-manifolds
• Dehn surgery along torus knots
• Floer homology of Brieskorn homology spheres
• The index of elliptic operators over V-manifolds
• Notes on homology cobordisms of plumbed homology 3-spheres
• FLOER HOMOLOGY AND INVARIANTS OF HOMOLOGY COBORDISM
• Homology 3-spheres bounding acyclic 4-manifolds
• Plumbed homology 3-spheres bounding acyclic 4-manifolds

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