A survey on Nahm transform
arXiv:math/0309305 · doi:10.1016/j.geomphys.2004.03.006
Abstract
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 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 complex.
Submitted version with minor changes, more references to calorons; written with non-experts in mind; 24 pages
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Cited by in corpus (24)
- tt* Geometry in 3 and 4 Dimensions
- A Monopole Wall
- Calorons, Nahm's equations on S^1 and bundles over P^1xP^1
- Asymptotic behaviour and the Nahm transform of doubly periodic instantons with square integrable curvature
- The large N limit of the Nahm transform
- Symmetric calorons and the rotation map
- Nahm Transform for Higgs bundles
- Periodic Monopoles from Spectral Curves
- Mirror symmetry for Nahm branes
- Algebraic Nahm transform for Parabolic Higgs Bundles on P^1
- Spatially periodic instantons: Nahm transform and moduli
- Numerical Nahm transform for 2-caloron solutions
- Approximating the parallel transport of an induced connection
- A Journey Between Two Curves
- From spatially periodic instantons to singular monopoles
- Scaling limits of periodic monopoles
- ADHM Construction of Noncommutative Instantons
- Construction of Exact Solutions to Nahm's Equations for the Multimonopole
- Hyperkähler Nahm transform
- Instantons and Bows for the Classical Groups
- Instantons: topological aspects
- Infinite-Parameter ADHM Transform
- On the Moduli Space of the Octonionic Nahm's Equations
- Local Nahm transform and singularity formation of ASD connections