2003/09/30 by Marcos Jardim
Mathematics · #Advanced Algebra and Geometry #Geometric and Algebraic Topology #Geometry and complex manifolds #math.DG
paper · pdf · doi:10.1016/j.geomphys.2004.03.006
published as J Geom Phys 52 (2004) 313-327 · Submitted version with minor changes, more references to calorons; written with non-experts in mind; 24 pages
arxiv created 2004/01/16 · openalex publication_date 2004/04/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 \real4 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.