4 papers
Conformally Einstein anti-self-dual spaces and their generalisations
Timothy Moy
We study the existence of Einstein scales and compatible metrics in Grassmannian geometry. As a special case, this includes the conformal-to-Einstein problem for anti-self-dual (AS…
Heavenly equations in de Sitter space
Maciej Dunajski, Timothy Moy
We demonstrate that all anti-self-dual Einstein metrics with non--zero cosmological constant locally arise from solutions of a single second order PDE introduced by Lipstein an…
Joyce structures from quadratic differentials on the sphere
Timothy Moy
Motivated by known examples of Joyce structures on spaces of meromorphic quadratic differentials, we consider the isomonodromic deformations of particular second-order linear ODEs…
Heavenly metrics, hyper-Lagrangians and Joyce structures
Maciej Dunajski, Timothy Moy
In https://pubs.ams.org/ebooks/pspum/103.2, Bridgeland defined a geometric structure, named a Joyce structure, conjectured to exist on the space of stability conditions of a $C…