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Conjugation spaces and edges of compatible torus actions

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Geometric Aspects of Analysis and Mechanics

Part of the book series: Progress in Mathematics ((PM,volume 292))

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Abstract

Duistermaat introduced the notion of real locus of a symplectic manifold, and subsequently a variety of techniques have been generalized to these lagrangian submanifolds. Together with Puppe, the authors of this paper generalized these results to the topological category, introducing conjugation spaces. In this paper, we review the definition and basic properties of conjugation spaces, and then give a topological criterion for recognizing a conjugation space.

Mathematics Subject Classification (2010): 58D19, 55N91

The second author was supported in part by NSF grant DMS-0604807. In addition, both authors are grateful for support from the Swiss National Funds for Scientific Research.

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Author information

Authors and Affiliations

  1. Mathématiques-Université, 240, CH-1211, Genève 24, Switzerland

    Jean-Claude Hausmann

  2. Department of Mathematics, Cornell University, Ithaca, NY, 14853-4201, USA

    Tara Holm

Authors
  1. Jean-Claude Hausmann
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  2. Tara Holm
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Corresponding author

Correspondence to Jean-Claude Hausmann .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Utrecht University, P.O. Box 80.010, Utrecht, 3508 TA, Netherlands

    Johan A.C. Kolk

  2. Mathematical Institute, Utrecht University, P.O. Box 80.010, Utrecht, 3508 TA, Netherlands

    Erik P. van den Ban

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In honor of the memory of Hans Duistermaat

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Hausmann, JC., Holm, T. (2011). Conjugation spaces and edges of compatible torus actions. In: Kolk, J., van den Ban, E. (eds) Geometric Aspects of Analysis and Mechanics. Progress in Mathematics, vol 292. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-8244-6_7

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