Infinite-Parameter ADHM Transform

  title={Infinite-Parameter ADHM Transform},
  author={Richard Samuel Ward},
  journal={arXiv: Mathematical Physics},
  • R. S. Ward
  • Published 2 June 2020
  • Mathematics
  • arXiv: Mathematical Physics
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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