20 citations · 59 across the 4 of their papers we have counts for
4 papers
A Poincaré-Birkhoff theorem for tight Reeb flows on
Umberto Hryniewicz, Al Momin, Pedro A. S. Salomão
We consider Reeb flows on the tight -sphere admitting a pair of closed orbits forming a Hopf link. If the rotation numbers associated to the transverse linearized dynamics at th…
Contact Homology of Orbit Complements and Implied Existence
Al Momin
For Reeb vector fields on closed 3-manifolds, cylindrical contact homology is used to show that the existence of a set of closed Reeb orbit with certain knotting/linking properties…
Cylindrical Contact Homology on Complements of Reeb Orbits
Al Momin
Let be a closed 3-manifold with a contact form , and let be a link consisting of closed orbits for the Reeb vector field of . We study the problem of defining cylindr…
Cup-length estimates for leaf-wise intersections
Peter Albers, Al Momin
We prove that on a restricted contact type hypersurface the number of leaf-wise intersections is bounded from below by a certain cup-length.