Kael Dixon

activity

20162024

most citedThe multi-moment map of the nearly Kähler

S^{3} \times S^{3}

2 citations · 2 across the 2 of their papers we have counts for

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4 papers · 1 filter

math.DG2024

Cohomological lifting of multi-toric graphs

Kael Dixon, Thomas Bruun Madsen, Andrew Swann

We study $G_{2}$ -manifolds obtained from circle bundles over symplectic $S U (3)$ -manifolds with $T^{2}$ -symmetry. When the geometry is multi-Hamiltonian, we show how the compact par…

math.DG2020

Global properties of toric nearly Kähler manifolds

Kael Dixon

We study toric nearly Kähler manifolds, extending the work of Moroianu and Nagy. We give a description of the global geometry using multi-moment maps. We then investigate polynomia…

math.DG2017★ 2 cited

The multi-moment map of the nearly Kähler $S^{3} \times S^{3}$

Kael Dixon

We describe the multi-moment map associated to an almost Hermitian manifold which admits an action of a torus by holomorphic isometries. We investigate in particular the case of a…

math.DG2016

Regular ambitoric $4$ -manifolds: from Riemannian Kerr to a complete classification

Kael Dixon

We show that the conformal structure for the Riemannian analogues of Kerr black-hole metrics can be given an ambitoric structure. We then discuss the properties of the moment maps.…

Cohomological lifting of multi-toric graphs

Global properties of toric nearly Kähler manifolds

The multi-moment map of the nearly Kähler S3×S3

Regular ambitoric 4-manifolds: from Riemannian Kerr to a complete classification

The multi-moment map of the nearly Kähler $S^{3} \times S^{3}$

Regular ambitoric $4$ -manifolds: from Riemannian Kerr to a complete classification