22 citations · 55 across the 13 of their papers we have counts for
14 papers · 1 filter
Morse homology on noncompact manifolds
Kai Cieliebak, Urs Frauenfelder
Given a Morse function on a manifold whose moduli spaces of gradient flow lines for each action window are compact up to breaking one gets a bidirect system of chain complexes. The…
First steps in the geography of scale Hilbert structures
Urs Frauenfelder
Scale structures were introduced by H.Hofer, K.Wysocki, and E.Zehnder. In this note we define an invariant for scale Hilbert spaces modulo scale isomorphism and use it to distingui…
Stability is not open
K. Cieliebak, U. Frauenfelder, G. P. Paternain
We give an example of a symplectic manifold with a stable hypersurface such that nearby hypersurfaces are typically unstable.
Rabinowitz Floer homology and symplectic homology
Kai Cieliebak, Urs Frauenfelder, Alexandru Oancea
The Rabinowitz-Floer homology groups are associated to an exact embedding of a contact manifold into a symplectic manifold . They depend only on the bou…
Floer homology for negative line bundles and Reeb chords in pre-quantization spaces
Peter Albers, Urs Frauenfelder
In this article we prove existence of Reeb orbits for Bohr-Sommerfeld Legendrians in certain pre-quantization spaces. We give a quantitative estimate from below. These estimates ar…
A Floer homology for exact contact embeddings
Kai Cieliebak, Urs Frauenfelder
In this paper we construct the Floer homology for an action functional which was introduced by Rabinowitz and prove a vanishing theorem. As an application, we show that there are n…