Publication: Graded geometry and Poisson reduction
Graded geometry and Poisson reduction
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Cattaneo, A. S., & Zambon, M. (2009). Graded geometry and Poisson reduction. In L. C. de Andrés (Ed.), Special metrics and supersymmetry : Workshop on Geometry and Physics: Special Metrics and Supersymmetry, Bilbao, Spain, 29-31 May 2008 (No. 1093; Vol. 323, Issue 1093, pp. 48–56). American Institute of Physics. https://doi.org/10.1063/1.3089207
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The main result of [2] extends the Marsden-Ratiu reduction theorem [4] in Poisson geometry, and is proven by means of graded geometry. In this note we provide the background material about graded geometry necessary for the proof in [2]. Further, we provide an alternative algebraic proof for the main result. ©2009 American Institute of Physics
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Cattaneo, A. S., & Zambon, M. (2009). Graded geometry and Poisson reduction. In L. C. de Andrés (Ed.), Special metrics and supersymmetry : Workshop on Geometry and Physics: Special Metrics and Supersymmetry, Bilbao, Spain, 29-31 May 2008 (No. 1093; Vol. 323, Issue 1093, pp. 48–56). American Institute of Physics. https://doi.org/10.1063/1.3089207