Theory HEP Seminar

A Kobayashi-Hitchin correspondence for generalized Kaehler manifolds

Ruxandra Moraru

University of Waterloo

In this talk, we discuss an analogue of the Hermitian-Einstein equations for generalized Kaehler manifolds. We explain in particular how these equations are equivalent to a notion of stability, and that there is a Kobayahsi-Hitchin-type of correspondence between solutions of these equations and stable objects. The correspondence holds even for non-Kaehler manifolds, as long as they are endowed with Gauduchon metrics (which is always the case for generalized Kaehler structures on 4-manifolds).