A stable cohomotopy refinement of Seiberg-Witten invariants: I
arXiv:math/0204340
Abstract
The monopole map defines an element in an equivariant stable cohomotopy group refining the Seiberg-Witten invariant. This first of two articles presents the details of the definition of the stable cohomotopy invariant and discusses its relation to the integer valued Seiberg-Witten invariant.
18 pages