21 citations · 64 across the 16 of their papers we have counts for
9 papers · 1 filter
The higher Riemann-Hilbert correspondence and principal -bundles
Camilo Arias Abad, Sebastian Velez Vasquez
In this note we show that the holonomies for higher local systems provided by the higher Riemann-Hilbert correspondence coincide with those associated to principal -bundles wher…
An version of the Poincaré lemma
Camilo Arias Abad, Alexander Quintero Velez, Sebastian Velez Vasquez
We prove a categorified version of the Poincaré lemma. The natural setting for our result is that of -local systems. More precisely, we show that any smooth homotopy betwee…
Lectures on the Euler characteristic of affine manifolds
Camilo Arias Abad, Sebastián Vélez Vásquez
These are lecture notes prepared for the summer school "Geometric, algebraic and topological methods in quantum field theory", held in Villa de Leyva in July 2017. Our goal is to p…
Flat Z-graded connections and loop spaces
Camilo Arias Abad, Florian Schaetz
The pull back of a flat bundle along the evaluation map from the free loop space to comes equipped with a canonical au…
On the equivarant de-Rham cohomology for non-compact Lie groups
Camilo Arias Abad, Bernardo Uribe
Let be a connected and non-necessarily compact Lie group acting on a connected manifold . In this short note we announce the following result: for a -invariant closed dif…
The A_infty de Rham theorem and integration of representations up to homotopy
Camilo Arias Abad, Florian Schaetz
We use Chen's iterated integrals to integrate representations up to homotopy. That is, we construct an A_infty functor from the representations up to homotopy of a Lie algebroid to…