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
A5: Reeb dynamics and topology
Albers, Geiges, Zehmisch
Abstract:
The focus of this project lies on surgical constructions in contact topology. We investigate the effect of surgery on the existence of periodic Reeb orbits and the existence of positive loops of contactomorphisms. One aim is to prove the Weinstein conjecture for manifolds obtained by subcritical surgery. Further, we want to construct local models for the Reeb flow whose insertion into a given contact manifold allows us to modify the Reeb dynamics in a controlled fashion.
Group:
 
Prof. Peter Albers (PI)
mail: palbers at mathi.uni-heidelberg.de
phone: 06221 / 54 14230
room: 3.405
Mathematical Institute
Heidelberg University
Prof. Hansjörg Geiges (PI)
mail: geiges at math.uni-koeln.de
phone: 0221 / 470 4345
room: 222/223
Mathematical Institute
University of Cologne
Prof. Kai Zehmisch (PI)
mail: kai.zehmisch at wwu.de
phone: 0251 / 833 3704
room: 302
Mathematical Institute
University of Münster
Dr. Maÿlis Limouzineau (pd)
mail: maylimou at math.uni-koeln.de
phone: 0221 / 470 4349
room: 207
Mathematical Institute
University of Cologne
Impressum Institution of DFG, MI University of Cologne and FM Ruhr-University Bochum