Instantons on cylindrical manifolds and stable bundles

Details Instantons on cylindrical manifolds and stable bundles Instantons on cylindrical manifolds and stable bundles

2000-10-11

arxiv.org/abs/math/0010106v2

Geom. Topol. 5(2001) 761-797

Mathematics

Differential Geometry

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol5/paper24.abs.html

Scientific paper

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.

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