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math.SG2023
A counterexample to the singular Weinstein conjecture
Josep Fontana-McNally, Eva Miranda, Cédric Oms +1
In this article, we study the dynamical properties of Reeb vector fields on b-contact manifolds. We show that in dimension 3, the number of so-called singular periodic orbits can b…
math.SG2022
The Arnold conjecture for singular symplectic manifolds
Joaquim Brugués, Eva Miranda, Cédric Oms
In this article, we study the Hamiltonian dynamics on singular symplectic manifolds and prove the Arnold conjecture for a large class of -symplectic manifolds. Novel technique…