Disconnecting the G_2 moduli space
Location: MSRI: Simons Auditorium
algebraic geometry and GAGA
complex differential geometry
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 8-dimensional coboundaries, 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 with Diarmuid Crowley and Sebastian Goette
If none of the options work for you, you can always buy the DVD of this lecture. The videos are sold at cost for $20USD (shipping included). Please Click Here to send an email to MSRI to purchase the DVD.
See more of our Streaming videos on our main VMath Videos page.