Geometry & Topology seminar

Tuesday, November 19, 2013 3:30 pm - 3:30 pm EST (GMT -05:00)

Ruxandra Moraru, Department of Pure Mathematics, University of Waterloo

“A Kobayashi-Hitchin correspondence for generalized Kaehler manifolds”

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).

This is joint work with Shengda Hu and Reza Seyyedali.

 

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