We study Bogomolny equations on ℝ 2×? 1. Although they do not admit nontrivial finite-
energy solutions, we show that there are interesting infinite-energy solutions with Higgs field …

An expression is found for the L2-index of a Dirac operator coupled to a connection on a Un
vector bundle over S1× R 3. Boundary conditions for the connection are given which ensure …

We study solutions of the Bogomolny equation on ℝ 2× 𝕊 1 with prescribed singularities. We
show that the Nahm transform establishes a one-to-one correspondence between such …

We study doubly-periodic instantons, ie instantons on the product of a 1-dimensional
complex torus T with a complex line ³, with quadratic curvature decay. We determine the …

The main result is a computation of the Nahm transform of a SU (2)-instanton over R x T³,
called spatially-periodic instanton. It is a singular monopole over T³, a solution to the …

Construction of Doubly-Periodic Instantons Page 1 Commun. Math. Phys. 216, 1 – 15 (2001)
Communications in Mathematical Physics © Springer-Verlag 2001 Construction of Doubly-Periodic …

We present the Nahm transform of the doubly-periodic instantons (ie instantons on T 2× ℝ
2), converting them into certain meromorphic solutions of Hitchin's equations over an elliptic …

Abstract We investigate Yang–Mills instanton theory over four dimensional asymptotically
locally flat (ALF) geometries, including gravitational instantons of this type, by exploiting the …

We apply the ADHM instanton construction to SU (2) gauge theory on T n× R 4− n for n= 1,
2, 3, 4. To do this we regard instantons on T n× R 4− n as periodic (modulo gauge …

We define and investigate a Fourier-Mukai transformation for Higgs bundles on smooth
curves. It can be viewed as the purely algebro-geometric or holomorphic side of a Nahm …