Symplectic Structures in Geometry, Algebra and Dynamics
Collaborative Research Centre TRR 191
A1, A2, A3, A5, A6, A7, A8
B1, B2, B3, B4, B5, B6, B7, B8
C1, C2, C3, C4, C5, C6, C7
Topology & Equivariant Theories
A6: Rabinowitz Floer homology
(completed in the first funding period 2017-2020)
Rabinowitz Floer homology (RFH) is a powerful algebraic invariant of contact-type compact hypersurfaces inside symplectic manifolds. The aim of this project is to develop RFH further, with an eye towards applications. In particular, we intend to study relations of RFH to other Floer homologies, product structures on RFH, equivariant versions and the behaviour of RFH under surgery constructions. We expect to derive applications about multiplicity and linear stability of periodic orbits of Reeb flows and translated points of contactomorphisms, orderablity of contact manifolds, lower bounds on the complexity of Reeb flows and positive contactomorphisms.
Impressum Institution of DFG, MI University of Cologne, FM Ruhr-University Bochum and MI University of Heidelberg