82 citations · 141 across the 6 of their papers we have counts for
Showing 2004 · math.DGShow all
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math.DG2004★ 36 cited
Generalized complex structures and Lie brackets
Marius Crainic
We look at generalized complex structures from the point of view of Poisson and Dirac geometry and we remark that the puzzling equations underlying the notion of generalized comple…
math.DG2004★ 2 cited
Prequantization and Lie brackets
Marius Crainic
We start by describing the relationship between the classical prequantization condition and the integrability of a certain Lie algebroid associated to the problem and use this to g…
math.DG2004★ 4 cited
Deformations of Lie brackets: cohomological aspects
M. Crainic, I. Moerdijk
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 algeb…