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arXiv · 1712.00765

Local Nahm transform and singularity formation of ASD connections

Yang Li
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Abstract

This paper develops a local analogue of the ADHM construction, which characterises ASD instantons defined over smooth bounded domains inside Euclidean $\mathbb{R}^4$ diffeomorphic to the 4-ball, in terms of infinite dimensional Hilbert spaces and bounded Hermitian linear operators satisfying an analogue of the ADHM equation. Morever, we describe the degeneration of this construction when a family of instantons develops a curvature singularity at the origin.

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Yang Li. 2017-12-03. Local Nahm transform and singularity formation of ASD connections. https://arxiv.org/abs/1712.00765

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