21 citations · 64 across the 16 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…
Introduction to representations of braid groups
Camilo Arias Abad
These are lecture notes prepared for a minicourse given at the Cimpa Research School "Algebraic and geometric aspects of representation theory", held in Curitiba, Brazil in March 2…