#poisson geometry
3 resultsmath-ph2026
The reduced Dirac structure of General Relativity on manifolds with corners
Alberto S. Cattaneo, Filippo Fila-Robattino, Manuel Tecchiolli
The paper derives the Poisson structure on the corners of four‑dimensional Palatini‑Cartan gravity, constructs a reduced Dirac structure for corner fields, and shows its equivalenc…
#general relativity#palatini-cartan gravity#corner theory#poisson geometry
math.RT2026
Cluster structures on
Jeff York Ye
The paper constructs cluster algebra structures on the strata of the symmetric space SL_n/SO_n by folding upper cluster algebras from SL_n, and shows these structures are compatibl…
#cluster algebras#symmetric spaces#folding#poisson geometry
math.DG2026
Polynomial degeneration and the Poisson geometry of truncated polynomials
Francis Bischoff, Aldo Witte
The paper introduces a formalism for geometric structures that degenerate polynomially along a hypersurface and applies it to Poisson geometry, constructing generically symplectic…
#poisson geometry#symplectic degeneration#truncated polynomial groups#character varieties