Three lectures on derived symplectic geometry and topological field theories

DOI10.1016/j.indag.2014.07.005zbMath1298.81345OpenAlexW2063232430MaRDI QIDQ743977

Damien Calaque

Publication date: 2 October 2014

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2014.07.005

zbMATH Keywords

topological field theoriesderived geometrysymplectic and Lagrangian structures

Mathematics Subject Classification ID

Topological field theories in quantum mechanics (81T45) Symplectic field theory; contact homology (53D42)

Related Items

Derived gluing construction of chiral algebras, Gauge PDE and AKSZ‐type Sigma Models, Quasi-Hamiltonian reduction via classical Chern-Simons theory, A DERIVED LAGRANGIAN FIBRATION ON THE DERIVED CRITICAL LOCUS, Two-dimensional categorified Hall algebras, Shifted cotangent stacks are shifted symplectic, Frobenius objects in the category of spans

Cites Work

• Shifted symplectic structures
• Quasi-Hamiltonian reduction via classical Chern-Simons theory
• Symplectic structure of the moduli space of sheaves on an abelian or K 3 surface
• Lie group valued moment maps
• Relational symplectic groupoids
• Derived quot schemes
• The Geometry of the Master Equation and Topological Quantum Field Theory
• Integral transforms and Drinfeld centers in derived algebraic geometry
• Lagrangian structures on mapping stacks and semi-classical TFTs
• On the Classification of Topological Field Theories
• Higher-dimensional algebra and topological quantum field theory
• Homotopical algebraic geometry. II. Geometric stacks and applications
• Higher Topos Theory (AM-170)
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