19 citations · 107 across the 20 of their papers we have counts for
4 papers · 1 filter
Principal -Bundles and Smooth String Group Models
Severin Bunk
We provide a general, homotopy-theoretic definition of string group models within an -category of smooth spaces, and we present new smooth models for the string group. Here…
The -Local Homotopy Theory of Smooth Spaces
Severin Bunk
Simplicial presheaves on cartesian spaces provide a general notion of smooth spaces. There is a corresponding smooth version of the singular complex functor, which maps smooth spac…
Smooth 2-Group Extensions and Symmetries of Bundle Gerbes
Severin Bunk, Lukas Müller, Richard J. Szabo
We study bundle gerbes on manifolds that carry an action of a connected Lie group . We show that these data give rise to a smooth 2-group extension of by the smooth 2-gr…
Sheaves of Higher Categories on Generalised Spaces
Severin Bunk
We study the homotopy right Kan extension of homotopy sheaves on a category to its free cocompletion, i.e. to its category of presheaves. Any pretopology on the original category i…