108 citations · 697 across the 35 of their papers we have counts for
35 papers
Infinite-Parameter ADHM Transform
R. S. Ward
The Atiyah-Drinfeld-Hitchin-Manin (ADHM) transform and its various generalizations are examples of non-linear integral transforms between finite-dimensional moduli spaces. This not…
Hopf solitons on compact manifolds
R. S. Ward
Hopf solitons in the Skyrme-Faddeev system on typically have a complicated structure, in particular when the Hopf number Q is large. By contrast, if we work on a compact 3-ma…
Integrable (2k)-Dimensional Hitchin Equations
R. S. Ward
This letter describes a completely-integrable system of Yang-Mills-Higgs equations which generalizes the Hitchin equations on a Riemann surface to arbitrary k-dimensional complex m…
Symmetric Instantons and Discrete Hitchin Equations
R. S. Ward
Self-dual Yang-Mills instantons on correspond to algebraic ADHM data. The ADHM equations for -symmetric instantons give a one-dimensional integrable lattice system, whic…
Geometry of Solutions of Hitchin Equations on R^2
R. S. Ward
We study smooth SU(2) solutions of the Hitchin equations on R^2, with the determinant of the complex Higgs field being a polynomial of degree n. When n>=3, there are moduli spaces…
Dynamics of monopole walls
R. Maldonado, R. S. Ward
The moduli space of centred Bogomolny-Prasad-Sommmerfield 2-monopole fields is a 4-dimensional manifold M with a natural metric, and the geodesics on M correspond to slow-motion mo…