Symplectic Structures in Geometry, Algebra and Dynamics
Collaborative Research Centre TRR 191
 
A1, A2, A3, A5, A6, A7
B1, B2, B3, B4, B5, B6, B7
C1, C2, C3, C4, C5
Topology & Equivariant Theories
A6: Rabinowitz Floer homology
Abbondandolo, Albers
Abstract:
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.
Group:
 
Prof. Alberto Abbondandolo (PI)
mail: alberto.abbondandolo at rub.de
phone: 0234 / 322 3345
room: NA 4/33
Faculty of Mathematics
Ruhr-University Bochum
Prof. Peter Albers (PI)
mail: palbers at mathi.uni-heidelberg.de
phone: 06221 / 54 14230
room: 3.405
Mathematical Institute
Heidelberg University
Impressum Institution of DFG, MI University of Cologne and FM Ruhr-University Bochum