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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...
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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.
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Article
Parabolic bundles, elliptic surfaces andSU(2)-representation spaces of genus zero Fuchsian groups
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Article
The algebraic geometry of representation spaces associated to Seifert fibered homology 3-spheres
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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
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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...
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Article
Dimension functions of homotopy representations for compact Lie groups