@misc{Kaveh_Eftekharinasab_Fr\'{e}chet, author={Kaveh Eftekharinasab}, howpublished={online}, publisher={National Academy of Sciences of Armenia}, 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 \$\bb\$-cotangent bundle Lie algebroid of a weakly symplectic Fr\'\{e\}chet manifold \$M\$ is the Lichnerowicz-Poisson cohomology of \$M\$.}, title={Fr\'\{e\}chet Lie Algebroids and Their Cohomology}, type={Հոդված}, keywords={Differential geometry, Algebraic topology, Global analysis, analysis on manifolds}, }