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Relational Symplectic Groupoids

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Abstract

This note introduces the construction of relational symplectic groupoids as a way to integrate every Poisson manifold. Examples are provided and the equivalence, in the integrable case, with the usual notion of symplectic groupoid is discussed.

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Authors and Affiliations

  1. Institut Für Mathematik, Universität Zürich Irchel, Winterthurerstrasse 190, 8057, Zürich, Switzerland

    Alberto S. Cattaneo

  2. Department of Mathematics, University of California, Berkeley, CA, 94305, USA

    Ivan Contreras

Authors
  1. Alberto S. Cattaneo
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  2. Ivan Contreras
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Corresponding author

Correspondence to Ivan Contreras.

Additional information

A. S. C is partially supported by SNF Grant 20-149150. I. C. is supported by SNF Grant PBZHP2-147294.

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Cattaneo, A.S., Contreras, I. Relational Symplectic Groupoids. Lett Math Phys 105, 723–767 (2015). https://doi.org/10.1007/s11005-015-0760-3

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  • DOI: https://doi.org/10.1007/s11005-015-0760-3

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