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Deformations of Lie brackets: cohomological aspects
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We introduce a new cohomology for Lie algebroids, and prove that it provides a differential graded Lie algebra which ``controls'' deformations of the structure bracket of the algebroid. We also have a closer look at various special cases such as Lie algebras, Poisson manifolds, foliations, Lie algebra actions on manifolds.
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Cited by 2 Pith papers
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Problem of Time and Background Independence: classical version's higher Lie Theory
Extends classical Lie theory with Lie's Algorithm and a commuting pentagon invariance criterion to locally resolve the Problem of Time via background independence.
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Nambu variant of Local Resolution of Problem of Time and Background Independence
The paper extends a local resolution of the Problem of Time to Nambu n-ary bracket formalism, introducing Nambu-Dirac and Nambu algorithms and a claimed uniqueness theorem for Nambu observables.
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