A new invariant of G2 structures

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• Diarmuid Crowley, Max Planck Bonn
• Wednesday 27 February 2013, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Ivan Smith.

I will report on recent joint work with Johannes Nordström where we define an invariant of diffeomorphisms and homotopies of a G2 structure on a closed 7 manifold. The invariant takes values in Z/48 and is defined via the Euler characteristic and signature of a Spin(7) coboundary of the G2 structure. I will discuss examples, calculations for the invariant to date and its relationship to the mapping class groups of spin 7-manifolds.

This talk is part of the Differential Geometry and Topology Seminar series.

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