27 citations · 54 across the 9 of their papers we have counts for
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math.AT2018
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…
math.AT2018★ 1 cited
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…
math.GT2018
On Rham cohomology of locally trivial Lie groupoids over triangulated manifolds
Jose R. Oliveira
Based in the isomorphism between Lie algebroid cohomology and piecewise smooth cohomology, it is proved that the Rham cohomology of a locally trivial Lie groupoid on a smooth m…