Derived smooth manifolds

DOI10.1215/00127094-2010-021zbMath1420.57073arXiv0810.5174OpenAlexW2167716795MaRDI QIDQ974797

David I. Spivak

Publication date: 7 June 2010

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.5174

zbMATH Keywords

submanifoldcup productintersection productderived cobordism ringderived manifold

Mathematics Subject Classification ID

Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Algebraic topology on manifolds and differential topology (57R19) Intersection homology and cohomology in algebraic topology (55N33)

Related Items (15)

Separation theorems in the commutative algebra of C∞-rings and applications ⋮ Virtual fundamental classes for moduli spaces of sheaves on Calabi-Yau four-folds ⋮ Algebraic Spivak's theorem and applications ⋮ On Subcartesian Spaces Leibniz’ Rule Implies the Chain Rule ⋮ On topologically big divergent trajectories ⋮ Higher Orbifolds and Deligne-Mumford Stacks as Structured Infinity-Topoi ⋮ Constructing span categories from categories without pullbacks ⋮ Conjectures on counting associative 3-folds in 𝐺₂-manifolds ⋮ DERIVED ALGEBRAIC COBORDISM ⋮ Open systems in classical mechanics ⋮ Algebraic Geometry over 𝐶^{∞}-rings ⋮ The global derived period map ⋮ Chern–Weil forms and abstract homotopy theory ⋮ Chern characters, equivariant traces and derived algebraic geometry ⋮ Dg manifolds, formal exponential maps and homotopy Lie algebras

Cites Work

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• Homotopical algebraic geometry. I: Topos theory
• On left and right model categories and left and right Bousfield localizations
• Simplicial presheaves
• Spectra in model categories and applications to the algebraic cotangent complex
• Equivalences of monoidal model categories
• Méthode simpliciale en algèbre homologique et algèbre commutative
• Complexe cotangent et déformations. I. (The cotangent complex and deformations. I.)
• Seminar of algebraic geometry du Bois-Marie 1963--1964. Topos theory and étale cohomology of schemes (SGA 4). Vol. 1: Topos theory. Exp. I--IV
• C ∞ -Schemes
• Iterated path integrals
• Hypercovers and simplicial presheaves
• Homotopical algebraic geometry. II. Geometric stacks and applications
• Higher Topos Theory (AM-170)
• The Cotangent Complex of a Morphism
• Every homotopy theory of simplicial algebras admits a proper model

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