A Fourier-Mukai approach to spectral data for instantons
Algebraic Geometry
2007-05-23 v2 Mathematical Physics
math.MP
Abstract
We study U(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 of the K3 and abelian surfaces, we show that the moduli space of instantons has a natural Lagrangian fibration with respect to the canonical complex symplectic structure.
Keywords
Cite
@article{arxiv.math/0006054,
title = {A Fourier-Mukai approach to spectral data for instantons},
author = {Marcos Jardim and Antony Maciocia},
journal= {arXiv preprint arXiv:math/0006054},
year = {2007}
}
Comments
17 pages. Final version to appear in Crelle