1994/07/15 by C. Bartocci, Claudio Bartocci, Ugo Bruzzo +6
Mathematics · #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #dg-ga #math.DG
paper · pdf · doi:10.48550/arxiv.dg-ga/9407004
5 pages (French language), AmsTeX v.2.1 with Amsppt.sty, Preprint DIMA 264/1994
arxiv created 1994/07/15 · openalex publication_date 1994/07/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Given two compact hyperkähler surfaces X and Y and a holomorphic vector bundle Q on X× Y, which is a generalized instanton, one can define a Fourier-Mukai transform, which, under suitable assumptions, maps vector bundles on X to vector bundles on Y. If X and Y are dual complex tori, this transform maps instantons on X to instantons on Y. After a quick review of these results, we define a Fourier-Mukai transform in the case when X is a K3 surface, and study the behaviour of instantons on X under this transform. Hard copies may be mailed on request