We define Lie and Courant algebroids on Fr ́echetmanifolds. Moreover, we construct a Dirac structure on the gen-eralized tangent bundle of a Fr ́echet manifold and show that itinherits a Fr ́echet Lie algebroid structure. We show that the Liealgebroid cohomology of theB-cotangent bundle Lie algebroidof a weakly symplectic Fr ́echet manifoldMis the Lichnerowicz-Poisson cohomology ofM
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Mathematics
, 2025, Issue 1, pp. 1–10
ISSN Online: 0000-0000
DOI:
10.xxxx/example-doi