Spectral curves and Nahm transform for doubly-periodic instantons
Algebraic Geometry
2009-10-31 v2
Abstract
We explore the role played by the spectral curves associated with Higgs pairs in the context of the Nahm transform of doubly-periodic instantons defined in "Construction of doubly-periodic instantons" (math.DG/9909069) and "Nahm transform for doubly-periodic instantons" (math.DG/9910120). More precisely, we show how to construct a triple consisting of an algebraic curve plus a line bundle with connection over it from a doubly-periodic instanton, and that these coincide with the Hitchin's spectral data associated with the Nahm transformed Higgs bundle.
Cite
@article{arxiv.math/9909146,
title = {Spectral curves and Nahm transform for doubly-periodic instantons},
author = {Marcos Jardim},
journal= {arXiv preprint arXiv:math/9909146},
year = {2009}
}
Comments
Completely reformulated, more differential-geometric approach. 12 pages