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arXiv · 1810.05656

On symplectic lifts of actions for complete Lagrangian fibrations

Juan Carlos Marrero·Edith Padrón
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Abstract

In this note we discuss symplectic lifts of actions for a complete Lagrangian fibration. Firstly, we describe the symplectic cotangent lifts of a G-action on a manifold Q in terms of 1-cocycles in the cohomology of G induced by the action with values in the space of closed 1-forms on Q. After this, we consider the general case of complete Lagrangian fibrations.

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Juan Carlos Marrero, Edith Padrón. 2018-10-12. On symplectic lifts of actions for complete Lagrangian fibrations. https://arxiv.org/abs/1810.05656

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