4 papers
On the growth rate of Reeb orbit on star-shaped hypersurfaces
Rafael Fernandes, Joao Pering
In this article, we study the growth rate of Reeb orbits on fiberwise star-shaped hypersurfaces in the cotangent bundle of a closed manifold. We prove that under a suitable topolog…
Max-min energy of pseudoholomorphic curves and periodic Reeb flows in dimension
Rafael Fernandes, Brayan Ferreira
In this paper, we make use of elementary spectral invariants given by the max-min energy of pseudoholomorphic curves, recently defined by Michael Hutchings, to study periodic -d…
Wrapped Floer homology and hyperbolic sets
Rafael A. Fernandes
In this paper, we continue the quest to understand the interplay between wrapped Floer homology barcode and topological entropy. Wrapped Floer homology barcode entropy is defined a…
Barcode entropy and wrapped Floer homology
Rafael Fernandes
In this paper, we explore the interplay between barcode and topological entropies. Wrapped Floer homology barcode entropy is the exponential growth of not-to-short bars in the pers…