Alexei Kovalev

Coassociative fibrations of compact G₂-manifolds.

Abstract: Coassociative submanifolds are a class of minimal 4-dimensional submanifolds which occur in 7-manifolds of special holonomy G₂. I will describe examples of smooth fibrations of compact G₂-manifolds by coassociative submanifolds (with some singular fibres). These examples may be viewed, in particular, as an odd-dimensional analogue of the elliptic fibrations of K3 surfaces.