Instantons on cylindrical manifolds and stable bundles

Owens, B. (2001) Instantons on cylindrical manifolds and stable bundles. Geometry and Topology, 5, pp. 761-797. (doi:10.2140/gt.2001.5.761)

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Publisher's URL: http://www.msp.warwick.ac.uk/gt/2001/05/p024.xhtml

Abstract

Let Σ be a smooth complex curve, and let S be the product ruled surface Σ × ℂP1. We prove a correspondence conjectured by Donaldson between finite energy U(2)–instantons over Σ × S^1 × ℝ, and rank 2 holomorphic bundles over S whose restrictions to Σ ×{0},Σ ×{∞} are stable.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Owens, Dr Brendan
Authors: Owens, B.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Geometry and Topology
ISSN:1465-3060
Published Online:01 January 2001

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