منابع مشابه
A survey on Nahm transform
We review the construction known as the Nahm transform in a generalized context, which includes all the examples of this construction already described in the literature. The Nahm transform for translation invariant instantons on R is presented in an uniform manner. We also analyze two new examples, the first of which being the first example involving a four-manifold that is not hyperk”ahler.
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In this paper, we complete the proof of an equivalence given by Nye and Singer of the equivalence between calorons (instantons on S × R) and solutions to Nahm’s equations over the circle, both satisfying appropriate boundary conditions. Many of the key ingredients are provided by a third way of encoding the same data which involves twistors and complex geometry.
متن کاملNahm Transform for Higgs bundles
We construct the Nahm transform for Higgs bundles over a Riemann surface of genus at least 2 as hyperholomorphic connections on the total space of the tangent bundle of its dual Jacobian. 2000 MSC: 53C07, 53C26
متن کاملNahm transform for doubly-periodic instantons
We present the Nahm transform of the doubly-periodic instantons previously introduced by the author, converting them into certain meromorphic solutions of Hitchin’s equations over an elliptic curve.
متن کاملAlgebraic Interpretation of Nahm Transform for Integrable
Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. Nahm transform for parabolic connections. . . . . . . . . . . . 3 2. Laplace transform without parabolic structure . . . . . . . 8 3. Meromorphic connections and D-modules. . . . . . . . . . . . 10 4. Minimal parabolic Laplace transform. . . . . . . . . . . . . . . . . 14 5. Proof – outline....
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2000
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s002200050807