Instantons on cylindrical manifolds and stable bundles

DOI10.2140/gt.2001.5.761zbMath1069.53029arXivmath/0010106OpenAlexW3104521195MaRDI QIDQ1428373

Brendan Owens

Publication date: 19 May 2005

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0010106

zbMATH Keywords

stable bundleanti-self-dual connectionproduct ruled surface

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Floer homology (57R58) Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants) (14J80)

Related Items (5)

Spatially periodic instantons: Nahm transform and moduli ⋮ The extended Bogomolny equations with generalized Nahm pole boundary conditions. II ⋮ Hermitian Yang–Mills metrics on reflexive sheaves over asymptotically cylindrical Kähler manifolds ⋮ Kobayashi–Hitchin correspondence for analytically stable bundles ⋮ Hermitian Yang-Mills metrics on Higgs bundles over asymptotically cylindrical Kähler manifolds

Cites Work

• Boundary value problems for Yang-Mills fields
• Lectures on introduction to moduli problems and orbit spaces
• Comparison of the Donaldson polynomial invariants with their algebro- geometric analogues
• Algebraic surfaces and holomorphic vector bundles
• Yang-Mills fields on cylindrical manifolds and holomorphic bundles. II
• Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles
• The Yang-Mills equations over Riemann surfaces
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