Abstract

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

中文翻译：

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无限参数 ADHM 变换

摘要

Atiyah-Drinfeld-Hitchin-Manin 变换及其各种推广是有限维模空间之间非线性积分变换的例子。本笔记描述了一种自然的无限维泛化，其中变换变成了从边界数据到域中自对偶方程的一系列解的映射。