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 concept of orbifolds should unify differential geometry with equivariant homotopy theory,
so that orbifold cohomology should unify differential cohomology with proper equivariant …

The first part of this text is a gentle exposition of some basic constructions and results in the
extended prequantum theory of Chern–Simons-type gauge field theories. We explain in …

Many important theorems in differential topology relate properties of manifolds to properties
of their underlying homotopy types--defined eg using the total singular complex or the\v {C} …

We describe various equivalent ways of associating to an orbifold, or more generally a
higher étale differentiable stack, a weak homotopy type. Some of these ways extend to …

Many important theorems in differential topology relate properties of manifolds to properties
of their underlying homotopy types–defined eg using the total singular complex or the Čech …

We develop a universal framework to study smooth higher orbifolds on the one hand and
higher Deligne-Mumford stacks (as well as their derived and spectral variants) on the other …

We study integrability results for derived foliations in the holomorphic context. We prove a
global integrability theorem by flat groupoids, as well as global algebraic integrability in the …

Nous présentons la géométrie de Cartan généralisée qui est une structure géométrique
localement isomorphe au fibré principal associé à une géométrie de Cartan sur une variété …

Deligne-Mumford stacks, which are locally modeled by quotients of schemes by finite group
actions, and are used to model moduli spaces of interesting automorphisms such as elliptic …