27 citations · 54 across the 9 of their papers we have counts for
9 papers
Addendum: EPRL/FK Asymptotics and the Flatness Problem
Jonathan Steven Engle, Wojciech Kaminski, José Ricardo Oliveira
We show that, when an approximation used in this prior work is removed, the resulting improved calculation yields an alternative derivation, in the particular case studied, of the…
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…
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…
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…
EPRL/FK Asymptotics and the Flatness Problem
José Ricardo Oliveira
Spin foam models are an approach to quantum gravity based on the concept of sum over states, which aims to describe quantum spacetime dynamics in a way that its parent framework, l…
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…
On piecewise smooth cohomology of Lie groupoids and Lie algebroids
Jose M. R Oliveira
Mishchenko's theorem states that piecewise smooth and Lie algebroid cohomology of a transitive Lie algebroid defined over a combinatorial manifold are isomorphic. In this paper, we…
Relative localization of point particle interactions
José Ricardo Oliveira
We review the main concepts of the recently introduced principle of relative locality and investigate some aspects of classical interactions between point particles from this new p…