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On the sheaf of smooth forms on Lie algebroids over triangulated spaces
Jose R. Oliveira
Cohomology of a compatible family of Lie algebroids defined on a family of transverse manifolds is defined. A sheaf of differential forms on a compatible family of Lie algebroids d…
Mayer-Vietoris sequence in cohomology of Lie algebroids on simplicial complexes
Jose R. Oliveira
It is shown that the Mayer-Vietoris sequence holds for the cohomology of complexes of Lie algebroids which are defined on simplicial complexes and satisfy the compatibility conditi…
Sullivan constructions for transitive Lie algebroids - smooth case
Aleksandr S. Mishchenko, Jose R. Oliveira
Let be a smooth manifold, smoothly triangulated by a simplicial complex , and $\cA$ a transitive Lie algebroid on . The Lie algebroid restriction of $\cA$ to a simplex $Δ…
On piecewise smooth cohomology of locally trivial Lie groupoids
Jose Oliveira
Mishchenko-Oliveira proved the piecewise smooth cohomology and Lie algebroid cohomology of a Lie algebroid on a combinatorial compact manifold are isomorphic. In this paper, we des…