A Fourier-Mukai approach to spectral data for instantons
A Fourier-Mukai approach to spectral data for instantons
We study SU(r) instantons on elliptic surfaces with a section and show that they are in one-one correspondence with spectral data consisting of a curve in the dual elliptic surface and a line bundle on that curve. We use relative Fourier-Mukai transforms to analyse their properties and, in the case …