Classifying Spaces and Dirac Operators Coupled to Instantons

DOI10.2307/2155214zbMath0867.58010OpenAlexW4241535042MaRDI QIDQ4875645

Sanders, Marc D.

Publication date: 5 June 1996

Full work available at URL: https://doi.org/10.2307/2155214

zbMATH Keywords

Dirac operatorsmoduli spacegauge equivalence classesprincipal bundles over \(S^ 4\)

Mathematics Subject Classification ID

Moduli problems for topological structures (58D29) Homology and homotopy of (Bmathrm{O}) and (Bmathrm{U}); Bott periodicity (55R45)

Related Items (5)

Holomorphic bundles on the blown-up plane and the bar construction ⋮ Dirac operators coupled to instantons on positive definite four-manifolds ⋮ The rank stable topology of instantons on $\overline {\mathbf {CP}}^2$ ⋮ Cohomology of the moduli space of \(SO(n)\)-instantons with instanton number 1 ⋮ Generating varieties, Bott periodicity and instantons

Cites Work

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• Construction of instantons
• Vector bundles on complex projective spaces
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• Monopoles, braid groups, and the Dirac operator
• The based \(\text{SU}(n)\)-instanton moduli spaces
• The topology of instanton moduli spaces. I: The Atiyah-Jones conjecture
• DYER-LASHOF OPERATIONS FOR THE CLASSIFYING SPACES OF CERTAIN MATRIX GROUPS
• Self-duality in four-dimensional Riemannian geometry
• Geometric Invariant Theory
• On the Homology of SU(n) Instantons
• BOTT PERIODICITY AND THE INDEX OF ELLIPTIC OPERATORS
• The homology of the classical groups over the Dyer-Lashof algebra

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