3 papers
math.SG2026
Multiplicity of closed Reeb orbits on contact manifolds with periodic equivariant symplectic homology
Miguel Abreu, Leonardo Macarini
We consider closed contact manifolds with periodic positive equivariant symplectic homology. This is a very large class of contact manifolds and, to the best of our knowle…
math.SG2026
Contact flexibility and rigidity for toric Gorenstein prequantizations and Ehrhart theory of toric diagrams
Miguel Abreu, Leonardo Macarini, António Rocha-Neves
Gorenstein toric contact manifolds are good toric contact manifolds with zero first Chern class that are completely determined by certain integral convex polytopes called toric dia…
math.SG2026
Periodic orbits of non-degenerate lacunary contact forms on prequantization bundles
Miguel Abreu, Leonardo Macarini
A non-degenerate contact form is lacunary if the indexes of every contractible periodic Reeb orbit have the same parity. To the best of our knowledge, every contact form with finit…