Luis Hernández–Corbato

activity

20212024

collaborators

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 $L$ of loops of contactomorphisms of a non-orderable closed contact manifold $(M^{2 n + 1}, α)$ . We filter $L$ by a quantit…

math.DS2023

On the growth rate inequality for self-maps of the sphere

Héctor Barge, Luis Hernández-Corbato

Let $S^{m} = {x_{0}^{2} + x_{1}^{2} + \dots + x_{m}^{2} = 1}$ and $P = {x_{0} = x_{1} = 0} \cap S^{m}$ . Suppose that $f$ is a self--map of $S^{m}$ such that $f^{- 1} (P) = P$ and $|\mathrm{deg}(f_{|P…

math.AT2021

Integration in Čech theories and a bound on entropy

Luis Hernández-Corbato, David Jesús Nieves-Rivera, Francisco Romero Ruiz del Portal +1

The evaluation of Alexander-Spanier cochains over formal simplices in a topological space leads to a notion of integration of Alexander-Spanier cohomology classes over Čech homolog…