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A stable cohomotopy refinement of Seiberg-Witten invariants: I

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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.

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Authors and Affiliations

  1. Fakultät für Mathematik, Universität Bielefeld, PF 100131, 33501, Bielefeld, Germany

    Stefan Bauer

  2. Graduate School of Mathematical Sciences, University of Tokyo, 153-8914, Tokyo, Japan

    Mikio Furuta

Authors
  1. Stefan Bauer
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  2. Mikio Furuta
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Correspondence to Stefan Bauer or Mikio Furuta.

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Bauer, S., Furuta, M. A stable cohomotopy refinement of Seiberg-Witten invariants: I. Invent. math. 155, 1–19 (2004). https://doi.org/10.1007/s00222-003-0288-5

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  • DOI: https://doi.org/10.1007/s00222-003-0288-5

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