Pith. sign in

REVIEW 3 cited by

Graded geometry and generalized reduction

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2306.01508 v3 pith:LXC2DE7V submitted 2023-06-02 math.SG hep-thmath.DG

Henrique Bursztyn , Alberto S. Cattaneo , Rajan Amit Mehta , Marco Zambon This is my paper · ORCID
classification math.SGhep-thmath.DG
keywords reductiongradedcourantgeneralizedsymplecticactingalgebroidsbursztyn-cavalcanti-gualtieri
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original 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.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Shifted lagrangian structures in Poisson geometry

    math.SG 2026-05 unverdicted novelty 6.0 of 10

    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 group...

  2. Gauged Courant sigma models

    hep-th 2026-01 unverdicted novelty 6.0 of 10

    Gauged Courant sigma models extend Courant sigma models by adding gauge symmetries from Lie algebroids and Courant algebroids, with consistency ensured by flatness conditions on target-space curvatures and torsions.

  3. Courant Algebroid Relations, T-Dualities and Generalised Ricci Flow

    hep-th 2025-02 conditional novelty 6.0 of 10

    Using Courant algebroid relations, the authors prove that geometric T-duality maps solutions of generalized Ricci flow to solutions of generalized Ricci flow, preserving the generalized string background equations.

Pith tools