English

A stable cohomotopy refinement of Seiberg-Witten invariants: I

Differential Geometry 2007-05-23 v1 Algebraic Topology

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.

Keywords

Cite

@article{arxiv.math/0204340,
  title  = {A stable cohomotopy refinement of Seiberg-Witten invariants: I},
  author = {Stefan Bauer and Mikio Furuta},
  journal= {arXiv preprint arXiv:math/0204340},
  year   = {2007}
}

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18 pages