Given two hyperklhler manifolds X and Y and a quaternionic instanton on X x Y, one can define a Fourier-Mukai transform, which maps quaternionic instantons on X to quaternionic instantons on Y. This construction encompasses the cases of two-dimensional algebraic tori and K3 surfaces already treated elsewhere. We also sketch some higher dimensional examples.
A hyperkähler Fourier transform
BARTOCCI, CLAUDIO;
1998-01-01
Abstract
Given two hyperklhler manifolds X and Y and a quaternionic instanton on X x Y, one can define a Fourier-Mukai transform, which maps quaternionic instantons on X to quaternionic instantons on Y. This construction encompasses the cases of two-dimensional algebraic tori and K3 surfaces already treated elsewhere. We also sketch some higher dimensional examples.
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