A. Q. Vélez

collaborators

3 papers

hep-th2021

Color-kinematics duality from the Bern-Kosower formalism

Naser Ahmadiniaz, Filippo Maria Balli, Cristhiam Lopez-Arcos +2

Berends-Giele currents are fundamental building blocks for on-shell amplitudes in non-abelian gauge theory. We present a novel procedure to construct them using the Bern-Kosower fo…

math.AT2021

Chern-Weil theory for $\infty$ -local systems

Camilo Arias Abad, Santiago Pineda Montoya, Alexander Quintero Velez

Let $G$ be a compact connected Lie group. We show that the category $Loc_{\infty} (B G)$ of $\infty$ -local systems on the classifying space of $G$ , can be described infinite…

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…

Color-kinematics duality from the Bern-Kosower formalism

Chern-Weil theory for ∞-local systems

An A∞​ version of the Poincaré lemma

Chern-Weil theory for $\infty$ -local systems

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