64 citations · 473 across the 56 of their papers we have counts for
4 papers · 1 filter
Homotopy types of strict 3-groupoids
Carlos Simpson
We look at strict -groupoids and show that if is any realization functor from the category of strict -groupoids to the category of spaces satisfying a minimal property…
On the Breen-Baez-Dolan stabilization hypothesis for Tamsamani's weak n-categories
Carlos Simpson
We show that if , then a k-connected weak n-category can be ``delooped'' to a k+1-connected weak n+1-category with . This is the essential part…
Descente pour les n-champs (Descent for n-stacks)
André Hirschowitz, Carlos Simpson
We develop the theory of n-stacks (or more generally Segal n-stacks which are -stacks such that the morphisms are invertible above degree n). This is done by systematically…
Secondary Kodaira-Spencer classes and nonabelian Dolbeault cohomology
Carlos Simpson
If is a smooth projective variety moving in a family, we define a secondary Kodaira-Spencer class for nonabelian Dolbeault cohomology of with coefficients…