Multiple Derived Lagrangian Intersections
arXiv:1309.0596 · doi:10.1090/conm/643
Abstract
We give a new way to produce examples of Lagrangians in shifted symplectic derived stacks, based on multiple intersections. Specifically, we show that an m-fold fiber product of Lagrangians in a shifted symplectic derived stack its itself Lagrangian in a certain cyclic product of pairwise homotopy fiber products of the Lagrangians.
References in corpus (7)
- Stability structures, motivic Donaldson-Thomas invariants and cluster transformations
- Symmetries and stabilization for sheaves of vanishing cycles
- Classical and quantum Lagrangian field theories with boundary
- Quasi-Hamiltonian reduction via classical Chern-Simons theory
- On 2d TQFTs whose values are holomorphic symplectic varieties
- Fano versus Calabi - Yau
- Derived Algebraic Geometry
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