Seminar: On the spin geometry of M theory
- Date: –15:00
- Location: Å73121
- Lecturer: Carlos Shahbazi (Hannover)
- Contact person: Fabrizio Nieri
I will present a classification of bundles of weakly faithful Clifford modules over a pseudo-Riemannian manifold (M,g) in terms of Lipschitz structures, obtaining the topological obstruction for their existence. For bundles of irreducible real Clifford modules, I will classify all Lipschitz structures, finding a spinorial structure which to the best of my knowledge is new in the literature. As an application of the previous classification, I will show that in signature (10,1) and under a mild assumption on the existence of a Dirac operator, M theory can be defined on (M,g) if and only if (M,g) is Spin, ruling out the possibility of defining M theory on non orientable manifolds.