We introduce the notion of a Hamiltonian action of an étale Lie group stack on an étale
symplectic stack and establish versions of the Kirwan convexity theorem, the Meyer …

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 …

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 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 …

Every small monoidal category with universal finite joins of central idempotents is
monoidally equivalent to the category of global sections of a sheaf of local monoidal …

We give a complete and categorical characterization of étale stacks (generalized orbifolds)
in various geometric contexts, including differentiable stacks and topological stacks. This …

Motivated by D. Roytenberg's observation in\cite {roytenberg4} that Leibniz algebras can be
regarded as a kind of weak Lie 2-algebra, and the results of M. Kinyon\cite {kinyon} and S …

Barbosa, Rui Soares ; Heunen, Chris Sheaf representation of monoidal categories. (English) £ ¢
¡ Zbl 07658620 Adv. Math. 416 Page 1 Barbosa, Rui Soares; Heunen, Chris Sheaf …

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 …

The definition of a category of spaces given in An é tal é space construction for stacks is
problematic in that the main examples do not satisfy the axioms listed there. In this erratum …