Instantons and geometric invariant theory

1984/12/01 by Simon Donaldson, S. K. Donaldson · 7 citations
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebra over a field #Black Holes and Theoretical Physics #Complex system #Computer science #Geometry #Holomorphic function #Homogeneous space #Instanton #Invariant (physics) #Mathematical physics #Mathematics #Pure mathematics #Quantum chaos and dynamical systems

paper · doi:10.1007/bf01212289

crossref issued 1984/12/01 · crossref published 1984/12/01 · crossref published-print 1984/12/01 · openalex publication_date 1984/12/01 · crossref created 2005/02/25 · crossref deposited 2019/05/02 · openalex created_date 2025/10/10 · crossref indexed 2026/06/04 · openalex updated_date 2026/07/23

Citations

• Construction of instantons

Cited by

• An instanton-invariant for 3-manifolds
• New higher anomalies, SU(N) Yang–Mills gauge theory and CP N − 1 sigma model
• Complex ADHM equations, sheaves on P³ and quantum instantons
• Branes in the moduli space of framed sheaves
• Moduli spaces of framed symplectic and orthogonal bundles on P2 and the K-theoretic Nekrasov partition functions
• Instantons and framed sheaves on Kähler Deligne-Mumford stacks
• Nahm's equations and the classification of monopoles
• Simon Donaldson [wikipedia]