Instantons on cylindrical manifolds and stable bundles
Owens, Brendan
Original · EN
Let Sigma be a smooth complex curve, and let S be the product ruled surface Sigma × CP¹. We prove a correspondence conjectured by Donaldson between finite energy U(2)-instantons over the cylinder Sigma × S¹ × R, and rank 2 holomorphic bundles over S whose restrictions to the divisors at infinity are stable.
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