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Conjugation spaces and 4-manifolds

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We show that 4-dimensional conjugation manifolds are all obtained from branched twofold coverings of knotted surfaces in \({\mathbb{Z}_2}\) -homology 4-spheres.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, McMaster University, Hamilton, ON, L8S 4K1, Canada

    Ian Hambleton

  2. Section de Mathématiques, Université de Genève, B.P. 240, 1211, Geneva 24, Switzerland

    Jean-Claude Hausmann

Authors
  1. Ian Hambleton
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  2. Jean-Claude Hausmann
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Correspondence to Ian Hambleton.

Additional information

Research partially supported by NSERC Discovery Grant A4000. I. Hambleton would like to thank the Max Planck Institut für Mathematik in Bonn. I. Hambleton and J.-C. Hausmann thank the Swiss National Funds for Scientific Research for its support.

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Hambleton, I., Hausmann, JC. Conjugation spaces and 4-manifolds. Math. Z. 269, 521–541 (2011). https://doi.org/10.1007/s00209-010-0748-8

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