Infinite-Parameter ADHM Transform
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Publication:4956654
DOI10.1093/QMATH/HAAA054zbMATH Open1482.44013arXiv2006.01459OpenAlexW3167615304MaRDI QIDQ4956654
Publication date: 2 September 2021
Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)
Abstract: 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.
Full work available at URL: https://arxiv.org/abs/2006.01459
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Yang-Mills and other gauge theories in quantum field theory (81T13) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Integral transforms, operational calculus (44A99)
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