C. A. Abad

activity

20092023

most citedRepresentations up to homotopy of Lie algebroids

21 citations · 64 across the 16 of their papers we have counts for

collaborators

Showing math.ATShow all

8 papers · 1 filter

math.AT2021★ 1 cited

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.AT2020★ 2 cited

Singular chains on Lie groups and the Cartan relations II

Camilo Arias Abad, Alexander Quintero Velez

Let $G$ be a simply connected Lie group with Lie algebra $g$ and denote by $C_{∙} (G)$ the DG Hopf algebra of smooth singular chains on $G$ . In a companion…

math.AT2019

Singular chains on Lie groups and the Cartan relations I

Camilo Arias Abad

Let $G$ be a simply connected Lie group with Lie algebra $g$ . We show that the following categories are naturally equivalent. The category $Mod (C (G))$ , of suffi…

math.AT2014★ 5 cited

Holonomies for connections with values in L-infinity algebras

Camilo Arias Abad, Florian Schaetz

Given a flat connection on a manifold with values in a filtered L-infinity-algebra, we construct a morphism of coalgebras that generalizes the holonomies of flat connections with v…

math.AT2014★ 3 cited

Higher holonomies: comparing two constructions

Camilo Arias Abad, Florian Schaetz

We compare two different constructions of higher dimensional parallel transport. On the one hand, there is the two dimensional parallel transport associated to 2-connections on 2-b…

math.AT2014

Introduction to representations of braid groups