CRC TRR 191 A05 - Reeb dynamics and topology

Basic data for this project

Type of projectSubproject in DFG-joint project hosted outside University of Münster
Duration at the University of Münster01/01/2017 - 31/12/2017 | 1st Funding period

Description

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.

Keywordssurgical constructions; contact topology; mathemetics; contactomorphisms; algebra
Website of the projecthttp://www.mi.uni-koeln.de/CRC-TRR191
Funding identifierTRR 191/1
Funder / funding scheme
  • DFG - Collaborative Research Centre (SFB)

Project management at the University of Münster

Albers, Peter
Professorship for theoretical mathematics (Prof. Albers)
Zehmisch, Kai
Professur für Differentialgeometrie/Geometrische Analysis (Prof. Zehmisch)

Applicants from the University of Münster

Albers, Peter
Professorship for theoretical mathematics (Prof. Albers)
Zehmisch, Kai
Professur für Differentialgeometrie/Geometrische Analysis (Prof. Zehmisch)

Project partners outside the University of Münster

  • University of Cologne (UzK)Germany

Coordinating organisations outside the University of Münster

  • University of Cologne (UzK)Germany