Instantons on cylindrical manifolds and stable bundles
Differential Geometry
2014-11-11 v2 Algebraic Geometry
Geometric Topology
Abstract
Let Sigma be a smooth complex curve, and let S be the product ruled surface Sigma \times CP^1. We prove a correspondence conjectured by Donaldson between finite energy U(2)-instantons over the cylinder Sigma \times S^1 \times R, and rank 2 holomorphic bundles over S whose restrictions to the divisors at infinity are stable.
Keywords
Cite
@article{arxiv.math/0010106,
title = {Instantons on cylindrical manifolds and stable bundles},
author = {Brendan Owens},
journal= {arXiv preprint arXiv:math/0010106},
year = {2014}
}
Comments
Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol5/paper24.abs.html