Algèbres simplicialesS1-équivariantes, théorie de de Rham et théorèmes HKR multiplicatifs

DOI10.1112/S0010437X11005501zbMath1257.18014OpenAlexW2335308384MaRDI QIDQ3107324

Bertrand Toën, Gabriele Vezzosi

Publication date: 23 December 2011

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0010437x11005501

zbMATH Keywords

differential graded algebrasde Rham algebrasderived loop spaces

Mathematics Subject Classification ID

Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Differential graded algebras and applications (associative algebraic aspects) (16E45) Simplicial sets and complexes in algebraic topology (55U10)

Related Items

Dimensional reduction in cohomological Donaldson–Thomas theory, Compactly supported \(\mathbb{A}^1\)-Euler characteristic and the Hochschild complex, A universal Hochschild-Kostant-Rosenberg theorem, Shifted symplectic structures, The \(\hat{A}\)-genus as a projective volume form on the derived loop space, Calabi–Yau structures on (quasi-)bisymplectic algebras, Hodge cohomology on blow‐ups along subvarieties, Representation homology of simply connected spaces, Quasi-Hamiltonian reduction via classical Chern-Simons theory, A Hochschild-Kostant-Rosenberg theorem and residue sequences for logarithmic Hochschild homology, Cogroupoid structures on the circle and the Hodge degeneration, Strictification and gluing of Lagrangian distributions on derived schemes with shifted symplectic forms, Real representation theory of finite categorical groups, A Darboux theorem for derived schemes with shifted symplectic structure, Higher Hochschild homology, topological chiral homology and factorization algebras, Higher traces, noncommutative motives, and the categorified Chern character, Periodic cyclic homology and derived de Rham cohomology, The unit of the total décalage adjunction, Counterexamples to Hochschild-Kostant-Rosenberg in characteristic p, Homotopical algebra for Lie algebroids, An analytic Hochschild-Kostant-Rosenberg theorem, Chern characters, equivariant traces and derived algebraic geometry

Cites Work

• Homotopical algebraic geometry. I: Topos theory
• The homotopy theory of dg-categories and derived Morita theory
• Hochschild cohomology of complex spaces and Noetherian schemes
• Equivalences of monoidal model categories
• Cyclic homology, comodules, and mixed complexes
• Cohomological direct images in model categories
• The global decomposition theorem for Hochschild (co-)homology of singular spaces via the Atiyah-Chern character
• Additivity for derivator \(K\)-theory
• A model category structure on the category of simplicial categories
• Homological algebra of homotopy algebras
• Every homotopy theory of simplicial algebras admits a proper model