42 citations · 47 across the 4 of their papers we have counts for
10 papers
Admissible sheaves on P^3
Marcos Jardim
Admissible locally-free sheaves on P^3, also known in the literature as mathematical instanton bundles, arise in twistor theory, and are in 1-1 correspondence with instantons on R^…
Complex ADHM equations, sheaves on P^3 and quantum instantons
Igor Frenkel, Marcos Jardim
We use a complex version of the celebrated Atiyah-Hitchin-Drinfeld-Manin matrix equations to construct admissible torsion-free sheaves on $\p^3$ and complex quantum instantons over…
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…
Finite action solutions of SO(2,1) Hitchin's equations
Marcos Jardim
We present a 1-parameter family of finite action solutions to the Hitchin's equations and explore some of its basic properties. For a fixed value of the parameter, the so…