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Hyperkähler and quaternionic Kähler geometry
Published 1990“…</p> <p>HyperKähler metrics are constructed on the fundamental quaternionic line bundle (with the zero-section removed) of a quaternionic Kähler manifold (indefinite if the scalar curvature is negative). …”
Thesis -
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Hypertoric manifolds and hyperKähler moment maps
Published 2017“…In particular, we classify complete hyperKähler manifolds of dimension 4n with a tri-Hamiltonian action of a torus of dimension n, without any assumption on the finiteness of the Betti numbers. …”
Conference item -
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Metric geometries over the split quaternions
Published 2005“…In particular, we discuss the twistor spaces and Swann bundles of para-quaternionic Kähler manifolds. These are used to classify examples with a fully homogeneous action of a semi-simple Lie group, and to construct distinct para-quaternionic Kähler metrics from indefinite real analytic conformal manifolds. …”
Journal article