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

We introduce Manifold tensor categories, which make precise the notion of a tensor category
with a manifold of simple objects. A basic example is the category of vector spaces graded …

The thesis is devoted to higher structures, which is a generic name for all those collections of
n-ary brackets or products reducing for n= 2 to the ordinary ones. Among examples of those …