CRC 1442 - B03: Moduli spaces of metrics of positive curvature
Basic data for this project
Type of project: Subproject in DFG-joint project hosted at University of Münster
Duration at the University of Münster: 01/07/2024 - 30/06/2028 | 2nd Funding period
Description
We will develop a family version of coarse index theory which encompasses all existing index invariants for the understanding of spaces of positive scalar curvature (psc) metrics—the higher family index and index difference—as well as new ones such as family rho-invariants. This will enable the detection of new non-trivial elements in homotopy groups of certain moduli spaces of psc metrics. We will also further study the concordance space of psc metrics together with appropriate index maps.
Keywords: Differential Geometry; Analysis; Mathematics
Website of the project: https://www.uni-muenster.de/MathematicsMuenster/de/CRC-Geometry/research/projects/b03.html
DFG-Gepris-ID: https://gepris.dfg.de/gepris/projekt/444018002
Funding identifier: SFB 1442/1, B03 | DFG project number: 427320536
Funder / funding scheme:
- DFG - Collaborative Research Centre (SFB)
Project management at the University of Münster
| Ebert, Johannes | Professur für Theoretische Mathematik (Prof. Ebert) |
| Zeidler, Rudolf | Professur für Theoretische Mathematik (Prof. Bartels) |
Applicants from the University of Münster
| Ebert, Johannes | Professur für Theoretische Mathematik (Prof. Ebert) |
| Zeidler, Rudolf | Professur für Theoretische Mathematik (Prof. Bartels) |