The approximation of instantons

DOI10.1007/BF01896022zbMath0778.57010WikidataQ125751306 ScholiaQ125751306MaRDI QIDQ1261154

Simon K. Donaldson

Publication date: 9 January 1994

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/58119

zbMATH Keywords

Yang-Mills theoryconnection\(\text{SU}(\ell)\) bundles over \(S^ 4\)anti-self- dual fieldsanti-self-dual instanton equation

Mathematics Subject Classification ID

Moduli problems for differential geometric structures (58D27) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items

Local Nahm transform and singularity formation of ASD connections ⋮ Algebraic approximation of analytic subsets of \(\mathbb C^q\times\{0\}\) in \(\mathbb C^{q+1}\) ⋮ Instanton approximation, periodic ASD connections, and mean dimension ⋮ A Runge approximation theorem for pseudo-holomorphic maps ⋮ Yang-Mills replacement ⋮ On Nash approximation of complex analytic sets in Runge domains ⋮ \(G_{2}\)-instantons over asymptotically cylindrical ⋮ On Poletsky theory of discs in compact manifolds ⋮ Large dynamics of Yang-Mills theory: mean dimension formula ⋮ Some boundedness properties of solutions to the complex Yang-Mills equations on closed 4-manifolds

Cites Work

• Path-connected Yang-Mills moduli spaces
• Instantons in two and four dimensions
• Pseudo holomorphic curves in symplectic manifolds
• The stable topology of self-dual moduli spaces
• The existence of anti-self-dual conformal structures
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
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