We start by reviewing the definition of hyperk¨ahler ALE 4-manifolds and some basic properties of their moduli spaces of instantons. The Nahm transform is then defined in Section 10.3. Under certain circumstances, one can expect this transform to be invertible, and we announce an invertibility result in Section 10.4. Finally, Section 10.5 is dedicated to some differential geometric aspects of the transform.

A Nahm transform for instantons over ALE spaces

BARTOCCI, CLAUDIO;
2004-01-01

Abstract

We start by reviewing the definition of hyperk¨ahler ALE 4-manifolds and some basic properties of their moduli spaces of instantons. The Nahm transform is then defined in Section 10.3. Under certain circumstances, one can expect this transform to be invertible, and we announce an invertibility result in Section 10.4. Finally, Section 10.5 is dedicated to some differential geometric aspects of the transform.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11567/232634
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