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A Supergeometric Approach to Poisson Reduction

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Abstract

This work introduces a unified approach to the reduction of Poisson manifolds using their description by graded symplectic manifolds. This yields a generalization of the classical Poisson reduction by distributions and allows one to construct actions of strict Lie 2-groups and to describe the corresponding reductions.

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Authors and Affiliations

  1. Institut für Mathematik, Universität Zürich-Irchel, Winterthurerstr. 190, 8057, Zürich, Switzerland

    A. S. Cattaneo

  2. Departamentos de Matematica Pura, Universidade do Porto, Rua do Campo Alegre 687, 4169-007, Porto, Portugal

    M. Zambon

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  1. A. S. Cattaneo
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  2. M. Zambon
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Correspondence to M. Zambon.

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Communicated by N. A. Nekrasov

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Cattaneo, A.S., Zambon, M. A Supergeometric Approach to Poisson Reduction. Commun. Math. Phys. 318, 675–716 (2013). https://doi.org/10.1007/s00220-013-1664-7

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  • DOI: https://doi.org/10.1007/s00220-013-1664-7

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