42 citations · 47 across the 4 of their papers we have counts for
5 papers · 1 filter
Hyperkähler Nahm transform
Claudio Bartocci, Marcos Jardim
Given two hyperkähler manifolds and and a quaternionic instanton on their product, a hyperkähler Nahm transform can be defined, which maps quaternionic instantons on to…
A survey on Nahm transform
Marcos Jardim
We review the construction known as the Nahm transform in a generalized context, which includes all the examples of this construction already described in the literature. The Nahm…
Classification and existence of doubly-periodic instantons
Marcos Jardim
We present a classification of SU(2) instantons on according to their asymptotic behaviour. We then study the existence of such instantons for different val…
Asymptotic behaviour and the moduli space of doubly-periodic instantons
Olivier Biquard, Marcos Jardim
We study doubly-periodic instantons, i.e. instantons on the product of a 1-dimensional complex torus T with a complex line C, with quadratic curvature decay. We determine the asymp…
Nahm transform of doubly-periodic instantons
Marcos Jardim
This work concerns the study of certain finite-energy solutions of the anti-self-dual Yang-Mills equations on Euclidean 4-dimensional space which are periodic in two directions, so…