First-order locally convex Lie algebroids form a category whose morphisms are defined by pullback of sheaf-valued forms, and Banach-Lie algebroid morphisms integrate uniquely to source-simply connected Banach-Lie groupoid morphisms.
Poisson structure on predual of Banach Lie algebroid
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abstract
We construct the linear Poisson structure on the predual bundle of a Banach Lie algebroid. It is an alternative approach to the already known results on the linear sub-Poisson structure on the dual bundle. We also discuss the existence of queer Banach Lie algebroids. An example of a precotangent bundle is presented.
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math.DG 1years
2026 1verdicts
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A category of locally convex Lie algebroids
First-order locally convex Lie algebroids form a category whose morphisms are defined by pullback of sheaf-valued forms, and Banach-Lie algebroid morphisms integrate uniquely to source-simply connected Banach-Lie groupoid morphisms.