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Sandra Huppert

Oberseminar Differentialgeometrie: Johannes Nordström, University of Bath, Vortrag: Disconnecting the G_2 moduli space

Monday, 25.01.2016 16:15 im Raum SR 4

Mathematik und Informatik

Little is currently known about the global properties of the G_2 moduli space of a closed 7-manifold, ie the space of Riemannian metrics with holonomy G_2 modulo diffeomorphisms. A holonomy G_2 metric has an associated G_2-structure, and I will define a Z/48 valued homotopy invariant of a G_2-structure in terms of the signature and Euler characteristic of a Spin(7)-coboundary, and a Z-valued refinement in terms of eta invariants. I will describe examples of manifolds with holonomy G_2 metrics where these invariants are amenable to computation and can be used to prove that the moduli space is disconnected. This is joint work in progress with Diarmuid Crowley and Sebastian Goette.



Angelegt am Monday, 05.10.2015 11:30 von Sandra Huppert
Geändert am Monday, 25.01.2016 08:35 von Sandra Huppert
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