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On deformations of Hamiltonian actions

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Abstract.

In this paper we generalize to coisotropic actions of compact Lie groups a theorem of Guillemin on deformations of Hamiltonian structures on compact symplectic manifolds. We show how one can reconstruct from the moment polytope the symplectic form on the manifold.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Bologna, Piazza di Porta S. Donato 5, 40126, Bologna, Italy

    Lucio Bedulli

  2. Dipartimento di Matematica e Appl. per l’Architettura, Università di Firenze, Piazza Ghiberti 27, 50100, Firenze, Italy

    Anna Gori

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  1. Lucio Bedulli
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  2. Anna Gori
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Correspondence to Lucio Bedulli.

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Received: 21 March 2006

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Bedulli, L., Gori, A. On deformations of Hamiltonian actions. Arch. Math. 88, 468–480 (2007). https://doi.org/10.1007/s00013-006-1944-y

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  • DOI: https://doi.org/10.1007/s00013-006-1944-y

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