8 citations · 25 across the 11 of their papers we have counts for
4 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…
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.
Compactness for holomorphic curves with switching Lagrangian boundary conditions
Kai Cieliebak, Tobias Ekholm, Janko Latschev
We prove a compactness result for holomorphic curves with boundary on an immersed Lagrangian submanifold with clean self-intersection. As a consequence, we show that the number of…
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…