49 citations · 569 across the 70 of their papers we have counts for
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Fractal scale Hilbert spaces and scale Hessian operators
Urs Frauenfelder
Scale spaces were defined by H.Hofer, K.Wysocki, and E.Zehnder. In this note we introduce a subclass of scale spaces and explain why we believe that this subclass is the right clas…
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…
Symplectic topology of Mañé's critical values
K. Cieliebak, U. Frauenfelder, G. P. Paternain
We study the dynamics and symplectic topology of energy hypersurfaces of mechanical Hamiltonians on twisted cotangent bundles. We pay particular attention to periodic orbits, displ…