26 citations · 68 across the 8 of their papers we have counts for
17 papers
Computing the Rabinowitz Floer homology of tentacular hyperboloids
Alexander Fauck, Will J. Merry, Jagna Wiśniewska
We compute the Rabinowitz Floer homology for a class of non-compact hyperboloids . Using an embedding of a compact sphere $Σ_0\simeq S^{2k-…
The symplectic cohomology of magnetic cotangent bundles
Yoel Groman, Will J. Merry
We construct a family version of symplectic Floer cohomology for magnetic cotangent bundles, without any restrictions on the magnetic form, using the dissipative method for compact…
Maximum principles in symplectic homology
Will J. Merry, Igor Uljarevic
In the setting of symplectic manifolds which are convex at infinity, we use a version of the Aleksandrov maximum principle to derive uniform estimates for Floer solutions that are…
Positive loops and -contact systolic inequalities
Peter Albers, Urs Fuchs, Will J. Merry
We prove an inequality between the -norm of the contact Hamiltonian of a positive loop of contactomorphims and the minimal Reeb period. This implies that there are no s…
On the existence of infinitely many invariant Reeb orbits
Will J. Merry, Kathrin Naef
In this article we extend results of Grove and Tanaka on the existence of isometry-invariant geodesics to the setting of Reeb flows and strict contactomorphisms. Specifically, we p…
Floer homology on the time-energy extended phase space
Alberto Abbondandolo, Will J. Merry
We show how Rabinowitz Floer homology can be seen as a standard Floer homology for fixed period Hamiltonian orbits on an extended phase space.
Orderability and the Weinstein Conjecture
Peter Albers, Urs Fuchs, Will J. Merry
In this article we prove that the Weinstein conjecture holds for contact manifolds for which is non-orderable in the sense of Eliashberg-Polterovich…
Floer homology for non-resonant magnetic fields on flat tori
Urs Frauenfelder, Will J. Merry, Gabriel P. Paternain
In this article we define and compute the Novikov Floer homology associated to a non-resonant magnetic field and a mechanical Hamiltonian on a flat torus T^{2N}. As a result, we de…
Orderability, contact non-squeezing, and Rabinowitz Floer homology
Peter Albers, Will J. Merry
We study Liouville fillable contact manifolds with non-zero Rabinowitz Floer homology and assign spectral numbers to paths of contactomorphisms. As a consequence we prove t…
Translated points and Rabinowitz Floer homology
Peter Albers, Will J. Merry
We prove that if a contact manifold admits an exact filling then every local contactomorphism isotopic to the identity admits a translated point in the interior of its support, in…
Floer homology for magnetic fields with at most linear growth on the universal cover
Urs Frauenfelder, Will J. Merry, Gabriel P. Paternain
The Floer homology of a cotangent bundle is isomorphic to loop space homology of the underlying manifold, as proved by Abbondandolo-Schwarz, Salamon-Weber, and Viterbo. In this pap…
On the growth rate of leaf-wise intersections
Leonardo Macarini, Will J. Merry, Gabriel P. Paternain
We define a new variant of Rabinowitz Floer homology that is particularly well suited to studying the growth rate of leaf-wise intersections. We prove that for closed manifolds …
Lagrangian Rabinowitz Floer homology and twisted cotangent bundles
Will J. Merry
We study the following rigidity problem in symplectic geometry:can one displace a Lagrangian submanifold from a hypersurface? We relate this to the Arnold Chord Conjecture, and int…
Index computations in Rabinowitz Floer homology
Will J. Merry, Gabriel P. Paternain
In this note we study two index questions. In the first we establish the relationship between the Morse indices of the free time action functional and the fixed time action functio…
On the Rabinowitz Floer homology of twisted cotangent bundles
Will J. Merry
Consider the cotangent bundle of a Riemannian manifold of dimension 2 or more, endowed with a twisted symplectic structure defined by a closed weakly exact 2-form on $M…
Closed orbits of a charge in a weakly exact magnetic field
Will J. Merry
We prove that for a weakly exact magnetic system on a closed connected Riemannian manifold, almost all energy levels contain a closed orbit. More precisely, we prove the following…
Stability of Anosov Hamiltonian Structures
Will J. Merry, Gabriel P. Paternain
Consider the tangent bundle of a Riemannian manifold of dimension admitting a metric of negative curvature (not necessarily equal to ) endowed with a twisted sy…