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The intrinsic torsion of almost quaternion-Hermitian manifolds
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We study the intrinsic torsion of almost quaternion-Hermitian manifolds via the exterior algebra. In particular, we show how it is determined by particular three-forms formed from simple combinations of the exterior derivatives of the local Kaehler forms. This gives a practical method to compute the intrinsic torsion and is applied in a number of examples. In addition we find simple characterisations of HKT and QKT geometries entirely in the exterior algebra and compute how the intrinsic torsion changes under a twist construction.
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Geometry and symmetries of Hermitian-Einstein and instanton connection moduli spaces
Holomorphic, torsion-parallel vector fields on KT manifolds induce Killing and holomorphic vector fields on Hermitian-Einstein moduli spaces, which become toric or QKT fibrations under extra closure conditions.
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