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  1. No Access

    Article

    A stable cohomotopy refinement of Seiberg-Witten invariants: I

    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 in...

    Stefan Bauer, Mikio Furuta in Inventiones mathematicae (2004)

  2. No Access

    Article

    A stable cohomotopy refinement of Seiberg-Witten invariants: II

    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.

    Stefan Bauer in Inventiones mathematicae (2004)

  3. No Access

    Chapter

    Refined Seiberg-Witten Invariants

    Stefan Bauer in Different Faces of Geometry (2004)

  4. No Access

    Article

    Parabolic bundles, elliptic surfaces andSU(2)-representation spaces of genus zero Fuchsian groups

    Stefan Bauer in Mathematische Annalen (1991)

  5. No Access

    Article

    The algebraic geometry of representation spaces associated to Seifert fibered homology 3-spheres

    Stefan Bauer, Christian Okonek in Mathematische Annalen (1990)

  6. No Access

    Article

    A linearity theorem for group actions on spheres with applications to homotopy representations

    LetG be a finite group andX an equivariantZ/|G|-homology sphere. By Smith-theory the fixed point setX H for ap-subgroupH is aZ/p-homology sphere of dimensiond(H

    Stefan Bauer in Commentarii Mathematici Helvetici (1989)

  7. No Access

    Article

    Spherical resolutions for compact Lie groups

    Let G be a compact Lie group and A a G-space. When does there exist a relative G-CW-complex (X,A) with free G-action on X\A, such that X has the homology of a sphere? This paper gives sufficient conditions, wh...

    Stefan Bauer, Albert Schneider in manuscripta mathematica (1988)

  8. No Access

    Article

    Dimension functions of homotopy representations for compact Lie groups

    Stefan Bauer in Mathematische Annalen (1988)

  9. No Access

    Chapter and Conference Paper

    The homotopy type of a 4-manifold with finite fundamental group

    … is determined by its quadratic 2-type, if the 2-Sylow subgroup has 4-periodic cohomology.

    Stefan Bauer in Algebraic Topology and Transformation Groups (1988)