Lagrangian structures on mapping stacks and semi-classical TFTs

DOI10.1090/conm/643/12894zbMath1349.14005arXiv1306.3235OpenAlexW4300547271MaRDI QIDQ3187324

Damien Calaque

Publication date: 2 September 2016

Published in: Contemporary Mathematics, Stacks and Categories in Geometry, Topology, and Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.3235

zbMATH Keywords

topological field theoriesLagrangian structuresmoduli stacksderived algebraic geometryshifted symplectic structures

Mathematics Subject Classification ID

Proceedings of conferences of miscellaneous specific interest (00B25) Proceedings, conferences, collections, etc. pertaining to algebraic geometry (14-06) Topological field theories in quantum mechanics (81T45) Representations of quivers and partially ordered sets (16G20) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Lagrangian submanifolds; Maslov index (53D12) Categories in geometry and topology (18F99) Proceedings, conferences, collections, etc. pertaining to category theory (18-06) Generalizations (algebraic spaces, stacks) (14A20) Stacks and moduli problems (14D23)

Related Items

Poisson geometry of the moduli of local systems on smooth varieties ⋮ Derived gluing construction of chiral algebras ⋮ 4-Manifold topology, Donaldson–Witten theory, Floer homology and higher gauge theory methods in the BV-BFV formalism ⋮ Symplectic reduction along a submanifold ⋮ Microlocal sheaves and quiver varieties ⋮ Canonical functions, differential graded symplectic pairs in supergeometry, and Alexandrov-Kontsevich-Schwartz-Zaboronsky sigma models with boundaries ⋮ Iterated spans and classical topological field theories ⋮ A categorical approach to quantum moment maps ⋮ Symplectic implosion and the Grothendieck-Springer resolution ⋮ A Lagrangian neighbourhood theorem for shifted symplectic derived schemes ⋮ A physical origin for singular support conditions in geometric Langlands theory ⋮ Calabi–Yau structures on (quasi-)bisymplectic algebras ⋮ A categorical approach to dynamical quantum groups ⋮ Calabi-Yau structures for multiplicative preprojective algebras ⋮ Quasi-Hamiltonian reduction via classical Chern-Simons theory ⋮ Shifted geometric quantization ⋮ A DERIVED LAGRANGIAN FIBRATION ON THE DERIVED CRITICAL LOCUS ⋮ Elliptic bihamiltonian structures from relative shifted Poisson structures ⋮ BV equivalence with boundary ⋮ Poisson reduction as a coisotropic intersection ⋮ Derived algebraic geometry ⋮ Introduction to the BV-BFV formalism ⋮ Calabi-Yau structures, spherical functors, and shifted symplectic structures ⋮ Shifted cotangent stacks are shifted symplectic ⋮ Gaiotto's Lagrangian subvarieties via derived symplectic geometry ⋮ Relative Calabi–Yau structures ⋮ Relative Calabi-Yau structures. II: Shifted Lagrangians in the moduli of objects ⋮ Three lectures on derived symplectic geometry and topological field theories ⋮ Secondary products in supersymmetric field theory ⋮ Motivic and \(\ell\)-adic realizations of the category of singularities of the zero locus of a global section of a vector bundle ⋮ Multiplicative Hitchin systems and supersymmetric gauge theory ⋮ On dualizability of braided tensor categories ⋮ Frobenius objects in the category of spans ⋮ Relative Donaldson-Thomas theory for Calabi-Yau 4-folds ⋮ Orientability for gauge theories on Calabi-Yau manifolds