Instantons and jumping lines

DOI10.1007/BF01212344zbMath0596.32031MaRDI QIDQ1078378

Jacques Hurtubise

Publication date: 1986

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

twistor methodsmonadsdeformation of holomorphic vector bundlesmoduli space of stable bundlesmoduli space of SV(2)-instantons

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Twistor theory, double fibrations (complex-analytic aspects) (32L25) Discontinuous groups of transformations (57S30) Holomorphic bundles and generalizations (32L05) Deformations of complex structures (32G05)

Related Items

Group actions on spaces of rational functions ⋮ The topology of the space of rational maps into generalized flag manifolds ⋮ Euler number of moduli spaces of instantons ⋮ The Atiyah-Jones Conjecture ⋮ Rank two bundles on the blow-up of \(\mathbb{C}^2\) ⋮ On the geometry of moduli spaces of anti-self-dual connections ⋮ Classical solutions of the chiral model, unitons, and holomorphic vector bundles ⋮ Why instantons are monopoles ⋮ Spin structures on instanton moduli spaces ⋮ Unnamed Item ⋮ The based \(\text{SU}(n)\)-instanton moduli spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Instantons in two and four dimensions
• Instantons and geometric invariant theory
• Construction of instantons
• Vector bundles on complex projective spaces
• Vektorbündel vom Rang 2 über dem \(n\)-dimensionalen komplexprojektiven Raum
• Stable vector bundles and instantons
• Moduli of vector bundles on the projective plane
• Fibres stables de rang 2 sur \(\mathbb{P}_2(\mathbb{C})\)
• Sur La Classification Des Fibres Holomorphes Sur La Sphere de Riemann
• Vector Bundles on the Punctured Spectrum of a Local Ring