36 citations · 119 across the 10 of their papers we have counts for
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Atiyah classes of Lie algebroid homotopy modules
Panagiotis Batakidis, Sylvain Lavau
For a Lie algebroid pair we study cocycles constructed from the extension to of the higher connection forms of a representation up to homotopy of the L…
The modular class of a singular foliation
Sylvain Lavau
The modular class of a regular foliation is a cohomological obstruction to the existence of a volume form transverse to the leaves which is invariant under the flow of the vector f…
The universal Lie -algebroid of a singular foliation
Camille Laurent-Gengoux, Sylvain Lavau, Thomas Strobl
We associate a Lie -algebroid to every resolution of a singular foliation, where we consider a singular foliation as a locally generated -submodule of vector f…
A short guide through integration theorems of generalized distributions
Sylvain Lavau
The generalization of Frobenius' theorem to foliations with singularities is usually attributed to Stefan and Sussmann, for their simultaneous discovery around 1973. However, their…
Lie -algebroids and singular foliations
Sylvain Lavau
A singular (or Hermann) foliation on a smooth manifold can be seen as a subsheaf of the sheaf of vector fields on . We show that if this singular foliation ad…