Given two hyperk\ue4hler manifolds M and N and a quaternionic instanton on their product, a hyperk\ua8ahler Nahm transform can be defined, which maps quaternionic instantons on M to quaternionic instantons on N. This construction includes the case of Nahm transform for periodic instantons on R^4, the Fourier-Mukai transform for instantons on K3 surfaces, as well as the Nahm transform for ALE instantons
A quaternion-Hermitian manifold, of dimension at least 12, with closed fundamental 4-form is shown t...
We study hyperkähler cones and their corresponding quaternion-Kähler spaces. We present a classific...
We describe two constructions of hyperkähler manifolds, one based on a Legendre transform, and one o...
Abstract. Given two hyperkähler manifolds M and N and a quaternionic instanton on their product, a ...
Abstract. Given two hyper-Kähler manifolds M and N and a quaternionic instanton on their product, a...
Given two hyperklhler manifolds X and Y and a quaternionic instanton on X x Y, one can define a Four...
AbstractGiven two hyperkähler manifolds X and Y and a quaternionic instanton on X × Y, one can defin...
We start by reviewing the definition of hyperk\ua8ahler ALE 4-manifolds and some basic properties of...
Abstract. We describe in mathematical detail the Nahm transformation which maps anti-self dual conne...
We describe in mathematical detail the Nahm transformation which maps anti-self dual connections on ...
On the analogy with the so-called Nahm-Mukai transform of flat four tori, we define a mapping from i...
We introduce a generalization of the Nahm-Fourier transform which maps instantons over a K3 surface ...
A hypercomplex manifold is a manifold equipped with a triple of complex structures I, J, K satisfyin...
We present a novel approach to the study of Yang–Mills instantons on quaternionic Kähler manifolds, ...
Abstract The instanton equations on vector bundles over Calabi-Yau and hyper-Kähler cones can be red...
A quaternion-Hermitian manifold, of dimension at least 12, with closed fundamental 4-form is shown t...
We study hyperkähler cones and their corresponding quaternion-Kähler spaces. We present a classific...
We describe two constructions of hyperkähler manifolds, one based on a Legendre transform, and one o...
Abstract. Given two hyperkähler manifolds M and N and a quaternionic instanton on their product, a ...
Abstract. Given two hyper-Kähler manifolds M and N and a quaternionic instanton on their product, a...
Given two hyperklhler manifolds X and Y and a quaternionic instanton on X x Y, one can define a Four...
AbstractGiven two hyperkähler manifolds X and Y and a quaternionic instanton on X × Y, one can defin...
We start by reviewing the definition of hyperk\ua8ahler ALE 4-manifolds and some basic properties of...
Abstract. We describe in mathematical detail the Nahm transformation which maps anti-self dual conne...
We describe in mathematical detail the Nahm transformation which maps anti-self dual connections on ...
On the analogy with the so-called Nahm-Mukai transform of flat four tori, we define a mapping from i...
We introduce a generalization of the Nahm-Fourier transform which maps instantons over a K3 surface ...
A hypercomplex manifold is a manifold equipped with a triple of complex structures I, J, K satisfyin...
We present a novel approach to the study of Yang–Mills instantons on quaternionic Kähler manifolds, ...
Abstract The instanton equations on vector bundles over Calabi-Yau and hyper-Kähler cones can be red...
A quaternion-Hermitian manifold, of dimension at least 12, with closed fundamental 4-form is shown t...
We study hyperkähler cones and their corresponding quaternion-Kähler spaces. We present a classific...
We describe two constructions of hyperkähler manifolds, one based on a Legendre transform, and one o...