96 citations · 194 across the 7 of their papers we have counts for
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On the knot types of periodic Reeb orbits of dynamically convex contact forms
Umberto L. Hryniewicz, Pedro A. S. Salomão, Richard Siefring
We exhibit transverse knot types on the standard contact -sphere that cannot be realized as periodic Reeb orbits of a dynamically convex contact form. In particular, such transv…
Global surfaces of section with positive genus for dynamically convex Reeb flows
Umberto L. Hryniewicz, Pedro A. S. Salomão, Richard Siefring
We establish some new existence results for global surfaces of section of dynamically convex Reeb flows on the three-sphere. These sections often have genus, and are the result of…
Holomorphic curves in the presence of holomorphic hypersurface foliations
Agustin Moreno, Richard Siefring
We prove a result which establishes restrictions on the pseudoholomorphic curves which can exist in a stable Hamiltonian manifold in the presence of certain -invariant…
Finite-energy pseudoholomorphic planes with multiple asymptotic limits
Richard Siefring
It's known from from work of Hofer, Wysocki, and Zehnder [1996] and Bourgeois [2002] that in a contact manifold equipped with either a nondegenerate or Morse-Bott contact form, a f…
Connected sums and finite energy foliations I: Contact connected sums
Joel W. Fish, Richard Siefring
We consider a -manifold equipped with nondegenerate contact form and compatible almost complex structure . We show that if the data admits a stable finite…
Intersection theory of punctured pseudoholomorphic curves
Richard Siefring
We study the intersection theory of punctured pseudoholomorphic curves in -dimensional symplectic cobordisms. We first study the local intersection properties of such curves at…