Establishes a correspondence between 2-shifted Lagrangian morphisms and Dirac structures, identifying multiplicative D-valued moment maps for integrating quasi-Poisson manifolds and constructing quasi-symplectic groupoids via fibred products.
Graded geometry and generalized reduction
2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
We present general reduction procedures for Courant, Dirac and generalized complex structures, in particular when a group of symmetries is acting. We do so by taking the graded symplectic viewpoint on Courant algebroids and carrying out graded symplectic reduction, both in the coisotropic and hamiltonian settings. Specializing the latter to the exact case, we recover in a systematic way the reduction schemes of Bursztyn-Cavalcanti-Gualtieri.
years
2026 2representative citing papers
Gauged Courant sigma models are constructed as AKSZ sigma models whose consistency requires vanishing curvature and torsion, horizontal anchors, and flux/boundary equations generalizing homotopy momentum sections.
citing papers explorer
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Shifted lagrangian structures in Poisson geometry
Establishes a correspondence between 2-shifted Lagrangian morphisms and Dirac structures, identifying multiplicative D-valued moment maps for integrating quasi-Poisson manifolds and constructing quasi-symplectic groupoids via fibred products.
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Gauged Courant sigma models
Gauged Courant sigma models are constructed as AKSZ sigma models whose consistency requires vanishing curvature and torsion, horizontal anchors, and flux/boundary equations generalizing homotopy momentum sections.