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.
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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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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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DOI: https://doi.org/10.1007/978-0-8176-8244-6_7
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