7 citations · 15 across the 4 of their papers we have counts for
4 papers
Quaternionic Kahler spaces with large toric symmetry
Radu A. Ionas
We consider a general 4n-dimensional quaternionic Kahler geometry with a free action of the torus T^(n+1). The toric action lifts onto the Swann bundle of the quaternionic Kahler s…
Elliptic constructions of hyperkaehler metrics III: Gravitons and Poncelet polygons
Radu A. Ionas
In the generalized Legendre approach, the equation describing an asymptotically locally Euclidean space of type is found to admit an algebraic formulation in terms of the gro…
Elliptic constructions of hyperkaehler metrics II: The quantum mechanics of a Swann bundle
Radu A. Ionas
The generalized Legendre transform method of Lindstrom and Rocek yields hyperkaehler metrics from holomorphic functions. Its main ingredients are sections of bundles…
Elliptic constructions of hyperkaehler metrics I: The Atiyah-Hitchin manifold
Radu A. Ionas
This is the first in a series of papers in which we develop a twistor-based method of constructing hyperkaehler metrics from holomorphic functions and elliptic curves. As an applic…