Higher and derived stacks: a global overview

By Bertrand Toën. 2009

132 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/81767adb97f788cc453eda1c9a634bdc7a723018

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Citations in the corpus

Presenting higher stacks as simplicial schemes (2013, unknown): “[TV2] Bertrand Toën and Gabriele Vezzosi.”
The tangent complex and Hochschild cohomology of $\mathcal {E}_n$-rings (2011, background): “See [TV1], [TV2], [To], and [Lu5] for a general treatment of derived algebraic geometry and [Lu7] and [F1] for derived algebraic geometry for En-rings.”
A ‘Darboux theorem’ for shifted symplectic structures on derived Artin stacks, with applications (2013, methodology): “Classical K-schemes and Artin K-stacks will be written W,X, Y, Z, . . . , and derived K-schemes and derived Artin K-stacks in bold asW ,X,Y ,Z, . . . . Basic references for K-schemes are Hartshorne [12], for Artin K-stacks Laumon and Moret-Bailly [21], and for derived K-schemes and derived Artin Kst”
Derived Algebraic Geometry (2014, background): “They date mostly from the first decade of this century and appear in a series of works: [136], [137], [138], [90], [128], [91].”
Integral Transforms and Drinfeld Centers in Derived Algebraic Geometry (2008, unknown): “More generally, instead of an ordinary scheme or stack, our starting point will be a derived stack in the sense of derived algebraic geometry as developed in [L1, L3, L4, L5, ToVe1, ToVe2] (see also [To2] for a concise survey, and Section 2 below for a brief primer).”
Loop spaces and connections (2010, methodology): “For more details on derived algebraic geometry, we refer the reader to Toën’s extremely useful survey [31], and to the papers of Toën-Vezzosi [32, 33] and Lurie [21–23].”