A stable cohomotopy refinement of Seiberg-Witten invariants: II

By S. Bauer. 2002

123 citations recorded by the source corpus.

A gluing theorem for the stable cohomotopy invariant defined in the first article in this series of two gives new results on diffeomorphism types of decomposable manifolds.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/82db2266fdeea12906b728b07fafa1742dfa2de8

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In Geometry and Topology

1. S. Bauer
2. Tian-Jun Li
3. R. Fintushel
4. Ronald J. Stern
5. Anar Akhmedov
6. R. Baykur
7. D. Mcduff
8. B. Park

In Mathematical Physics

1. Tian-Jun Li
2. R. Fintushel
3. Ronald J. Stern
4. S. Bauer
5. Anar Akhmedov
6. D. Mcduff

Citations in the corpus

• Almost complex 4-manifolds with vanishing first Chern class (2006, background): “The concept can be explained in a few words: In its stable homotopy interpretation ([2], [4], [3]), the Seiberg-Witten invariant is the degree of a monopole map.”
• Six Lectures on Four 4-Manifolds (2006, background): “So the obvious question is whether there exist irreducible smooth 4-manifolds with h / 2 Z? Here the work of Bauer and Furuta [ 4 ] on stable homotopy invariants derived from the Seiberg-Witten equations may be useful.”
• SYMPLECTIC 4-MANIFOLDS WITH KODAIRA DIMENSION ZERO (2006, methodology): “1 ([2]).”