Fréchet Lie algebroids and their cohomology

Kaveh Eftekharinasab

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arXiv · 1412.0564

Fréchet Lie algebroids and their cohomology

Kaveh Eftekharinasab

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Abstract

We define Lie and Courant algebroids on Fréchet manifolds. Moreover, we construct a Dirac structure on the generalized tangent bundle of a Fréchet manifold and show that it inherits a Fréchet Lie algebroid structure. We show that the Lie algebroid cohomology of the $\bb$-cotangent bundle Lie algebroid of a weakly symplectic Fréchet manifold $M$ is the Lichnerowicz-Poisson cohomology of $M$.

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BibTeX RIS

Kaveh Eftekharinasab. 2015-01-26. Fréchet Lie algebroids and their cohomology. https://arxiv.org/abs/1412.0564

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