# Infinite-Parameter ADHM Transform

@article{Ward2020InfiniteParameterAT, title={Infinite-Parameter ADHM Transform}, author={Richard Samuel Ward}, journal={arXiv: Mathematical Physics}, year={2020} }

The Atiyah-Drinfeld-Hitchin-Manin (ADHM) transform and its various generalizations are examples of non-linear integral transforms between finite-dimensional moduli spaces. This note describes a natural infinite-dimansional generalization, where the transform becomes a map from boundary data to a family of solutions of the self-duality equations in a domain.

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The recent work of Atiyah, Hitchin, Drinfeld, and Manin is used to discuss self-dual Yang-Mills solutions for the compact gauge groups O(n), SU(n), and SP(n). It is shown that the resulting solutions…

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