3 papers
math.DG2025
A singular Serre-Swan theorem via tepui fibrations
Alfonso Garmendia, David Miyamoto, Leonid Ryvkin
The classical Serre-Swan theorem asserts that any finitely generated projective module over the algebra of smooth functions of a manifold can be realized as the s…
math.DG2025
PB-groupoids vs VB-groupoids
Alfonso Garmendia, Francesco Cattafi
In this paper we establish the principal bundle counterpart of the well-known and widely applied notion of vector bundle groupoid (VB-groupoid). In particular, we provide a general…
math.SG2025
E-structures and almost regular Poisson manifolds
Alfonso Garmendia, Eva Miranda
In recent years, -symplectic manifolds have become important structures in the study of symplectic geometry, serving as Poisson manifolds that retain symplectic properties away…