Sebastián Vélez Vásquez

collaborators

3 papers

math.DG2020

The higher Riemann-Hilbert correspondence and principal $2$ -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 $2$ -bundles wher…

math.DG2018

An $A_{\infty}$ 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 $\infty$ -local systems. More precisely, we show that any smooth homotopy betwee…

math.DG2018

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…

The higher Riemann-Hilbert correspondence and principal 2-bundles

An A∞​ version of the Poincaré lemma

Lectures on the Euler characteristic of affine manifolds

The higher Riemann-Hilbert correspondence and principal $2$ -bundles

An $A_{\infty}$ version of the Poincaré lemma