Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Workshop "Bielefeld Geometry & Topology Days"

The HK/QK correspondence

Malte Dyckmanns

created by daniele on 13 Apr 2015
modified on 20 May 2015

3 jul 2015 -- 11:30

Bielefeld University

Abstract.

The HK-QK correspondence was discovered by Andriy Haydys in 2006. Starting from a (pseudo-)hyper-Kähler manifold endowed with a real-valued function fulfilling certain assumptions, it constructs a quaternionic pseudo-Kähler manifold of the same dimension. I will introduce the correspondence, discuss its compatibility with hyper-Kähler and quaternionic Kähler quotients, and present a few examples.

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