Geometry & Topology Seminar

Andrew Swann, Aarhus University

"Toric geometry of G₂ metrics"

This talk describes joint work with Thomas Bruun Madsen, where we consider the notion of multi-moment for torus actions on G₂ manifolds.  It turns out that the case of actions by tori of dimension three is distinguished and that in this case several of the good features enjoyed by toric symplectic manifolds and hypertoric manifolds also hold in the G₂ context.  I will describe the notion of multi-moment in this context, compare this with symplect and hyperKähler moment maps and give a G₂ analogue of the Gibbons-Hawking Ansatz.

MC 5403