Armenian Journal of Mathematics, 8(1)
2016; 77–85
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Fr ́echet Lie Algebroids and TheirCohomology

Kaveh Eftekharinasab*

Received: 2024-12-18 · Published: 2016-06-07

© 2016 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
Fr ́echet Lie Algebroids and TheirCohomology
Author
Kaveh Eftekharinasab
Source journal
Armenian Journal of Mathematics, 8(1)
Published
2016-06-07
Licence
Creative Commons Attribution 4.0 International
Original
https://armjmath.sci.am/index.php/ajm/article/view/125

Abstract

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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