A stable cohomotopy refinement of Seiberg-Witten invariants: I

By S. Bauer, M. Furuta. 2002

153 citations recorded by the source corpus.

The monopole map defines an element in an equivariant stable cohomotopy group refining the Seiberg-Witten invariant. Part I discusses the definition of this stable homotopy invariant and its relation to the integer valued Seiberg-Witten invariants.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/0715feed61802fe1a975937f698047563bb8be31

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. M. Ishida
2. C. LeBrun
3. S. Bauer
4. Tian-Jun Li

In Mathematical Physics

1. M. Ishida
2. C. LeBrun
3. S. Bauer
4. Tian-Jun Li

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.”
• Curvature, connected sums, and Seiberg-Witten theory (2001, methodology): “Bauer and Furuta [5] observe that one can associate stable cohomotopy classes with sufficiently nice maps between Hilbert spaces.”