Seminar Geometry-Topology -- Hypercomplex manifolds of dimension 8

11/20/2015 - 11:00
11/20/2015 - 12:00
Mehdi Lejmi (UQAM)
UQAM, Pavillon Président-Kennedy, PK-5115

The goal of the talk is to prove a quaternionic analog of the well-known fact that a compact complex surface is kähler if and only if its first Betti number is even. More precisely, we prove that a compact 8-dimensional SL(2,H) manifold admits an hyperkähler with torsion metric if and only if its Hodge number h^{0,1} is even. This is a joint work with Gueo Grantcharov and Misha Verbitsky.

Last edited by on Thu, 11/12/2015 - 17:10