We formulate differential cohomology and Chern-Weil theory--the theory of connections on
fiber bundles and of gauge fields--abstractly in the context of a certain class of higher …

The theory of principal bundles makes sense in any ∞∞-topos, such as the ∞∞-topos of
topological, of smooth, or of otherwise geometric ∞∞-groupoids/∞∞-stacks, and more …

We study the rational homotopy types of classifying spaces of automorphism groups of
smooth simply connected manifolds of dimension at least five. We give differential graded …

We study the rational homotopy types of classifying spaces of automorphism groups of
smooth simply connected manifolds of dimension at least five. We give dg Lie algebra …

We study the rational homotopy types of classifying spaces of automorphism groups of 2d-
dimensional (d− 1)-connected manifolds (d≥ 3). We prove that the rational homology …

We define Image 1-fibration sequences as fibrations where the holonomy action of the
fundamental group of the base on the fiber lies in a given subgroup Image 1 of E (F), where …

Broadly speaking, Rational Homotopy Theory deals with the homotopical behavior of the
non-torsion part of topological spaces. For it, and in general terms, one first associates to …

As in the classical setting, we classify a large class of exterior fibrations in the based exterior
homotopy category. More precisely, the fibration sequences $ F\to E\to X $ of path …

Broadly speaking, Rational Homotopy Theory deals with the homotopical behavior of the
non-torsion part of topological spaces. For it, and in general terms, one first associates to …

Operadic tangent cohomology generalizes the existing theories of Harrison cohomology,
Chevalley--Eilenberg cohomology and Hochschild cohomology. These are usually non …