Derived coisotropic structures. II: Stacks and quantization

DOI10.1007/s00029-018-0407-1zbMath1440.14004arXiv1704.03201OpenAlexW2606782130WikidataQ130184621 ScholiaQ130184621MaRDI QIDQ1783972

Valerio Melani, Pavel Safronov

Publication date: 21 September 2018

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.03201

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Deformation quantization, star products (53D55) Generalizations (algebraic spaces, stacks) (14A20)

Related Items (15)

Poisson geometry of the moduli of local systems on smooth varieties ⋮ Derived gluing construction of chiral algebras ⋮ SHIFTED COISOTROPIC CORRESPONDENCES ⋮ Poisson-Lie structures as shifted Poisson structures ⋮ A Lagrangian neighbourhood theorem for shifted symplectic derived schemes ⋮ Calabi-Yau structures for multiplicative preprojective algebras ⋮ Shifted Poisson geometry and meromorphic matrix algebras over an elliptic curve ⋮ Elliptic bihamiltonian structures from relative shifted Poisson structures ⋮ Poisson reduction as a coisotropic intersection ⋮ On quantum obstruction spaces and higher codimension gauge theories ⋮ Shifted cotangent stacks are shifted symplectic ⋮ Derived coisotropic structures. I: Affine case ⋮ Shifted Poisson structures and moduli spaces of complexes ⋮ Multiplicative Hitchin systems and supersymmetric gauge theory ⋮ Quantisation of derived Lagrangians

Cites Work

• Shifted symplectic structures
• Homotopical algebraic geometry. I: Topos theory
• Relative formality theorem and quantisation of coisotropic submanifolds
• Poisson bivectors and Poisson brackets on affine derived stacks
• Quantization of line bundles on Lagrangian subvarieties
• Coisotropic calculus and Poisson groupoids
• Operads and motives in deformation quantization
• Formality of chain operad of little discs
• The homotopy theory of operad subcategories
• Deformation quantisation for unshifted symplectic structures on derived Artin stacks
• Derived coisotropic structures. I: Affine case
• Gerstenhaber-Batalin-Vilkoviski structures on coisotropic intersections
• The higher Morita category of \(\mathbb{E}_n\)-algebras
• The pro-unipotent radical of the pro-algebraic fundamental group of a compact Kähler manifold
• Deformations of coisotropic submanifolds and strong homotopy Lie algebroids
• Factorization Algebras in Quantum Field Theory
• Formality of the little N-disks operad
• Poisson reduction as a coisotropic intersection
• Non-formality of the Swiss-cheese operad
• Braces and Poisson additivity
• Shifted Poisson and symplectic structures on derived N-stacks
• Shifted Poisson structures and deformation quantization
• Higher Topos Theory (AM-170)

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