A DERIVED LAGRANGIAN FIBRATION ON THE DERIVED CRITICAL LOCUS

DOI10.1017/s147474802200041xarXiv2010.14221OpenAlexW3097107793MaRDI QIDQ6148606

Unnamed Author

Publication date: 7 February 2024

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.14221

zbMATH Keywords

Lagrangianshifted symplectic structuresderived geometryLagrangian fibrationsderived critical locusderived intersections

Mathematics Subject Classification ID

Symplectic geometry, contact geometry (53D99) Categories in geometry and topology (18F99) Schemes and morphisms (14A15)

Cites Work

• Shifted symplectic structures
• Derived algebraic geometry
• Homotopical algebraic geometry. I: Topos theory
• Three lectures on derived symplectic geometry and topological field theories
• A classical model for derived critical loci
• Quasi-Hamiltonian reduction via classical Chern-Simons theory
• Symmetric obstruction theories and Hilbert schemes of points on threefolds
• Basic structures on derived critical loci
• Derived algebraic geometry, determinants of perfect complexes, and applications to obstruction theories for maps and complexes
• Momentum maps and Morita equivalence
• Lagrangian structures on mapping stacks and semi-classical TFTs
• A Darboux theorem for derived schemes with shifted symplectic structure
• Supergeometry in Mathematics and Physics
• Shifted Poisson structures and deformation quantization
• Homotopical algebraic geometry. II. Geometric stacks and applications
• Shifted cotangent stacks are shifted symplectic

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