59 citations · 228 across the 20 of their papers we have counts for
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Construction of Exact Solutions to Nahm's Equations for the Multimonopole
H. W. Braden, Sergey A. Cherkis, Jason M. Quinones
We construct high rank solutions to Nahm's equations for boundary conditions that correspond to the Dirac multimonopole. Here, the spectral curve is explicitly known and we achieve…
The Charge 2 Monopole via the ADHMN construction
H. W. Braden, V. Z. Enolski
Recently we have shown how one may use use integrable systems techniques to implement the ADHMN construction and obtain general analytic formulae for the charge n su(2) Euclidean m…
Spectral Curves are Transcendental
H. W. Braden
Some arithmetic properties of spectral curves are discussed: the spectral curve, for example, of a charge Euclidean BPS monopole is not defined over …
Finite-gap integration of the SU(2) Bogomolny equations
H. W. Braden, V. Z. Enolski
The ADHMN construction of magnetic monopoles is given in terms of the (normalizable) solutions of an associated Weyl equation. We focus here on solving this equation directly by al…
Monopoles, Curves and Ramanujan
H. W. Braden, V. Z. Enolski
We develop the Ercolani-Sinha construction of SU(2) monopoles and make this effective for (a five parameter family of centred) charge 3 monopoles. In particular we show how to solv…
An Extended Abel-Jacobi Map
H. W. Braden, Yu. N. Fedorov
We solve the problem of inversion of an extended Abel-Jacobi map $$ \int_{P_{0}}^{P_{1}}ω+...+\int_{P_{0}}^{P_{g+n-1}}ω={\bf z}, \qquad \int_{P_{0}}^{P_{1}}Ω_{j1}+... +\int_{P_{0}}…