2 papers
math.SG2026
Associative half-densities on symplectic groupoids and quantization
Alejandro Cabrera, Gabriel Gonzalo Ledesma Valenotti
In this paper, we study half-densities enhancing the multiplication map on a symplectic groupoid and which satisfy a suitable associativity condition. This is structurally motivate…
math.DG2026
Geometric differentiation of simplicial manifolds
Alejandro Cabrera, Matias del Hoyo
We provide a complete geometric solution to the problem of differentiating simplicial manifolds, extending classical Lie theory and complementing existing homotopical and formal ap…