3 papers
math.SG2024
On the topology of loops of contactomorphisms and Legendrians in non-orderable manifolds
Luis Hernández-Corbato, Javier Martínez-Aguinaga
We study the global topology of the space of loops of contactomorphisms of a non-orderable closed contact manifold . We filter by a quantit…
math.GT2023
Existence and classification of maximal growth distributions
Javier Martínez-Aguinaga
This article tackles the problem of existence and classification of maximal growth distributions on smooth manifolds. We show that maximal growth distributions of rank abide by…
math.DG2021
Convex integration with avoidance and hyperbolic (4,6) distributions
Javier Martínez-Aguinaga, Álvaro del Pino
This paper tackles the classification, up to homotopy, of tangent distributions satisfying various non-involutivity conditions. All of our results build on Gromov's convex integrat…