Fr\'echet Lie algebroids and their cohomology
Differential Geometry
2016-09-08 v2
Abstract
We define Lie and Courant algebroids on Fr\'{e}chet manifolds. Moreover, we construct a Dirac structure on the generalized tangent bundle of a Fr\'{e}chet manifold and show that it inherits a Fr\'{e}chet Lie algebroid structure. We show that the Lie algebroid cohomology of the -cotangent bundle Lie algebroid of a weakly symplectic Fr\'{e}chet manifold is the Lichnerowicz-Poisson cohomology of .
Keywords
Cite
@article{arxiv.1412.0564,
title = {Fr\'echet Lie algebroids and their cohomology},
author = {Kaveh Eftekharinasab},
journal= {arXiv preprint arXiv:1412.0564},
year = {2016}
}