corner theory 1dirac structures 1general relativity 1manifolds with corners 1palatini-cartan gravity 1poisson geometry 1
From the 1 of 2 linked papers with an AI index.
2 papers
math-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…
math-ph2025
Gravity Coupled with Scalar, SU, and Spinor Fields on Manifolds with Null-Boundary
Alberto S. Cattaneo, Filippo Fila-Robattino, Valentino Huang +1
In this paper, we present a theory for gravity coupled with scalar, SU and spinor fields on manifolds with null-boundary. We perform the symplectic reduction of the space of b…