2 citations · 2 across the 2 of their papers we have counts for
5 papers
Cohomological lifting of multi-toric graphs
Kael Dixon, Thomas Bruun Madsen, Andrew Swann
We study -manifolds obtained from circle bundles over symplectic -manifolds with -symmetry. When the geometry is multi-Hamiltonian, we show how the compact par…
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…
Moment maps and Galois orbits in quantum information theory
Kael Dixon, Simon Salamon
SIC-POVMs are configurations of points or rank-one projections arising from the action of a finite Heisenberg group on . The resulting equations are interpreted in ter…
The multi-moment map of the nearly Kähler
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…
Regular ambitoric -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.…