53 citations · 354 across the 51 of their papers we have counts for
40 papers · 1 filter
Spectral numbers in Tate Rabinowitz Floer homology
Kai Cieliebak, Urs Frauenfelder
We show that circle valued spectral values in Tate Rabinowitz Floer ho- mology give rise to quantized energy levels, which recover the quantum mechanical spectrum of a system of un…
Resonances and string point invertibility for compact rank one symmetric spaces
Kai Cieliebak, Alexandru Oancea, Egor Shelukhin
We calculate the Batalin-Vilkovisky (BV) algebra structure of Rabinowitz loop homology for compact rank one symmetric spaces. As a consequence, we prove that such a space satisfies…
Computable functions as Reeb flows
Kai Cieliebak, Ángel González-Prieto, Eva Miranda
We prove that, given any contact -manifold and any computable function , there exists a defining contact form and a Poincaré section of…
The two-boost problem and Lagrangian Rabinowitz Floer homology
Kai Cieliebak, Urs Frauenfelder, Eva Miranda +1
The two-boost problem in space mission design asks whether two points of phase space can be connected with the help of two boosts of given energy. We provide a positive answer for…
Rabinowitz Floer homology as a Tate vector space
Kai Cieliebak, Alexandru Oancea
We show that the category of linearly topologized vector spaces over discrete fields constitutes the correct framework for algebraic structures on Floer homologies with field coeff…
A note on gradient-like vector fields
Kai Cieliebak
This note proposes a new notion of a gradient-like vector field and discusses its implications for the theory of Stein and Weinstein structures.