26 citations · 42 across the 7 of their papers we have counts for
4 papers · 1 filter
Segal topoi and stacks over Segal categories
Bertrand Toen, Gabriele Vezzosi
In math.AG/0207028 we began the study of higher sheaf theory (i.e. stacks theory) on higher categories endowed with a suitable notion of topology: precisely, we defined the notions…
From HAG to DAG: derived moduli spaces
Bertrand Toen, Gabriele Vezzosi
These are expanded notes from some talks given during the fall 2002, about ``homotopical algebraic geometry'' (HAG) with special emphasis on its applications to ``derived algebraic…
A remark on K-theory and S-categories
Bertrand Toen, Gabriele Vezzosi
It is now well known that the K-theory of a Waldhausen category depends on more than just its (triangulated) homotopy category (see [Schlichting]). The purpose of this note is to s…
Homotopical Algebraic Geometry I: Topos theory
Bertrand Toen, Gabriele Vezzosi
This is the first of a series of papers devoted to lay the foundations of Algebraic Geometry in homotopical and higher categorical contexts (for part II, see math.AG/0404373). In t…