%0 Journal Article %T Instantons on cylindrical manifolds and stable bundles %A Brendan Owens %J Mathematics %D 2000 %I arXiv %R 10.2140/gt.2001.5.761 %X 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. %U http://arxiv.org/abs/math/0010106v2