Differentiable structures on punctured 4-manifolds

DOI10.1016/0166-8641(93)90083-PzbMath0799.57009OpenAlexW2071686735MaRDI QIDQ690273

Mikio Furuta, Hiroshi Ohta

Publication date: 21 November 1994

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

Full work available at URL: https://doi.org/10.1016/0166-8641(93)90083-p

zbMATH Keywords

exotic structuresCasson's invriantpunctured 4- manifoldRohling's invariantuncountably many differentiable structures

Mathematics Subject Classification ID

Related Items (12)

Seifert hypersurfaces of 2-knots and Chern-Simons functional ⋮ Rohlin's invariant and gauge theory. II: Mapping tori ⋮ A splitting theorem for the Seiberg-Witten invariant of a homology \(S^1\times S^3\) ⋮ A vanishing result for a Casson-type instanton invariant ⋮ Ribbon homology cobordisms ⋮ Monopole Floer homology for rational homology 3-spheres ⋮ On slice knots and smooth 4-manifolds ⋮ On the Frøyshov invariant and monopole Lefschetz number ⋮ Harmonic sections in sphere bundles, normal neighborhoods of reduction loci, and instanton moduli spaces on definite 4-manifolds ⋮ On the monopole Lefschetz number of finite-order diffeomorphisms ⋮ A Levine-Tristram invariant for knotted tori ⋮ Rohlin's invariant and gauge theory III. Homology \(4\)--tori

Cites Work

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• An exotic menagerie
• The topology of four-dimensional manifolds
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• Casson's invariant and gauge theory
• An infinite set of exotic \({\mathbb{R}}^ 4\)'s.
• Connections, cohomology and the intersection forms of 4-manifolds
• A fake \(S^3\times R\)
• Gauge theory on asymptotically periodic 4-manifolds
• The orientation of Yang-Mills moduli spaces and 4-manifold topology
• An application of gauge theory to four dimensional topology

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