3 papers
math.SG2026
Fillability obstructions for high-dimensional confoliations
Robert Cardona, Fabio Gironella
In this paper, we study confoliations in dimensions higher than three mostly from the perspective of symplectic fillability. Our main result is that Massot-Niederkrüger-Wendl's bo…
math-ph2025
Local construction of knotted screw dislocations in smectic liquid crystals
Robert Cardona, Andreu Vega
The goal of this work is to show that, mathematically, screw dislocation loops with distinct topological properties can be introduced locally on a given smectic liquid crystal conf…
math.SG2025
Non-density results in high dimensional stable Hamiltonian topology
Robert Cardona, Fabio Gironella
We push forward the study of higher dimensional stable Hamiltonian topology by establishing two non-density results. First, we prove that stable hypersurfaces are not -dense i…