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On Gauge Transformations of Poisson Structures

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Quantum Field Theory and Noncommutative Geometry

Part of the book series: Lecture Notes in Physics ((LNP,volume 662))

Abstract

We discuss various questions in Poisson geometry centered around the notion of gauge transformations associated with 2-forms. The topics in this note include the relationship between gauge transformations and Morita equivalence of Poisson manifolds, gauge transformations of Lie bialgebroids and Poisson groupoids and integration of Dirac structures.

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Authors and Affiliations

  1. Department of Mathematics, University of Toronto, Toronto, M5S 3G3, Ontario, Canada

    H. Bursztyn

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  1. H. Bursztyn
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Ursula Carow-Watamura Yoshiaki Maeda Satoshi Watamura

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Bursztyn, H. On Gauge Transformations of Poisson Structures. In: Carow-Watamura, U., Maeda, Y., Watamura, S. (eds) Quantum Field Theory and Noncommutative Geometry. Lecture Notes in Physics, vol 662. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11342786_5

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