49 citations · 569 across the 70 of their papers we have counts for
6 papers · 1 filter
-equivariant Rabinowitz-Floer homology
Urs Frauenfelder, Felix Schlenk
We define the -equivariant Rabinowitz-Floer homology of a bounding contact hypersurface in an exact symplectic manifold, and show by a geometric argument that it vanishes…
Healthy vector spaces and spicy Hopf algebras (with applications to the growth rate of geodesic chords and to intermediate volume growth on manifolds of non-finite type)
Urs Frauenfelder, Felix Schlenk
We give lower bounds for the growth of the number of Reeb chords and for the volume growth of Reeb flows on spherizations over closed manifolds M that are not of finite type, have…
Slow volume growth for Reeb flows on spherizations and contact Bott--Samelson theorems
Urs Frauenfelder, Clémence Labrousse, Felix Schlenk
We give a uniform lower bound for the polynomial complexity of all Reeb flows on the spherization (S*M,ξ) over a closed manifold. Our measure for the dynamical complexity of Reeb f…
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…
Square roots of Hamiltonian Diffeomorphisms
Peter Albers, Urs Frauenfelder
In this article we prove that on any closed symplectic manifold there exists an arbitrarily -small Hamiltonian diffeomorphism not admitting a square root.
Exponential decay for sc-gradient flow lines
Peter Albers, Urs Frauenfelder
In this paper we introduce the notion of sc-action functionals and their sc-gradient flow lines. Our approach is inspired by Floer's unregularized gradient flow. The main result of…