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Circle actions on 4-manifolds I

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Abstract

Using cohomological methods it is proved that the intersection form of a closed (cohomology-) 4-manifoldM withH 1(M)=0 which admits a non-trivial circle action is the sum of one- and two-dimensional forms provided every fixed point has a neighbourhood containing at most 4 orbit types.

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  1. Fakultt fr Mathematik, Universitt Konstanz, Universittsstr. 10, D-78464, Konstanz

    Wolfgang Huck

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  1. Wolfgang Huck
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Huck, W. Circle actions on 4-manifolds I. Manuscripta Math 87, 51–70 (1995). https://doi.org/10.1007/BF02570461

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