Geometry & Topology
- Geom. Topol.
- Volume 5, Number 2 (2001), 761-797.
Instantons on cylindrical manifolds and stable bundles
Let be a smooth complex curve, and let be the product ruled surface . We prove a correspondence conjectured by Donaldson between finite energy –instantons over , and rank 2 holomorphic bundles over whose restrictions to are stable.
Geom. Topol., Volume 5, Number 2 (2001), 761-797.
Received: 23 February 2001
Revised: 25 October 2001
Accepted: 5 October 2001
First available in Project Euclid: 21 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 53C07: Special connections and metrics on vector bundles (Hermite-Einstein- Yang-Mills) [See also 32Q20]
Secondary: 14J60: Vector bundles on surfaces and higher-dimensional varieties, and their moduli [See also 14D20, 14F05, 32Lxx] 57R58: Floer homology 14J80: Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants)
Owens, Brendan. Instantons on cylindrical manifolds and stable bundles. Geom. Topol. 5 (2001), no. 2, 761--797. doi:10.2140/gt.2001.5.761. https://projecteuclid.org/euclid.gt/1513883043