78 citations · 111 across the 5 of their papers we have counts for
5 papers · 1 filter
Shifted Poisson Structures and Deformation Quantization
D. Calaque, T. Pantev, B. Toen +2
This paper is the sequel to [PTVV] (IHES Vol. 117, 2013). We develop a general and flexible context for differential calculus in derived geometry, including the de Rham algebra and…
Shifted Symplectic Structures
T. Pantev, B. Toen, M. Vaquie +1
This is the first of a series of papers about \emph{quantization} in the context of \emph{derived algebraic geometry}. In this first part, we introduce the notion of \emph{-shif…
Algebraization of complex analytic varieties and derived categories
B. Toen, M. Vaquie
We prove that a compact complex analytic variety is algebraizable if and only if its bounded derived dg-category of coherent sheaves is saturated.
Under Spec Z
Bertrand Toen, Michel Vaquie
We use techniques from relative algebraic geometry and homotopical algebraic geometry in order to construct several categories of schemes defined "under Spec Z". We define this way…
Moduli of objects in dg-categories
B. Toen, M. Vaquie
To any dg-category (over some base ring ), we define a -stack in the sense of \cite{hagII}, classifying certain -dg-modules. When is sat…