nLab Simon Donaldson

Simon Donaldson is professor for pure mathematics at Imperial College London.

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• Wikipedia entry

Selected writings

Proof of Donaldson's theorem, which laid the basis for Donaldson theory:

• Simon Donaldson: An application of gauge theory to four-dimensional topology, Journal of Differential Geometry. 18 Jahrgang, Nr. 2 (1983) [doi:10.4310/jdg/1214437665]

• Simon Donaldson. The orientation of Yang-Mills moduli spaces and 4-manifold topology. In: Journal of Differential Geometry. 26. Jahrgang, Nr. 3, 1. Januar 1987, doi:10.4310/jdg/1214441485

On Nahm's equations and the moduli space of monopoles:

• Simon Donaldson, Nahm’s Equations and the Classification of Monopoles, Comm. Math. Phys., Volume 96, Number 3 (1984), 387-407, (euclid:cmp.1103941858)

Textbook on 4-manifolds:

• Simon Donaldson, Peter Kronheimer: The Geometry of Four-Manifolds (1990, revised 1997), Oxford University Press and Claredon Press, [oup:52942, doi:10.1093/oso/9780198535539.001.0001, ISBN:978-0198502692, ISSN:0964-9174]

On Yang-Mills theory (gauge theory) in mathematical physics:

• Simon Donaldson, Yang-Mills theory and geometry (2005) [pdf, pdf]

• Simon Donaldson, Gauge Theory: Mathematical Applications, Encyclopedia of Mathematical Physics, Academic Press (2006) 468-481 [doi:10.1016/B0-12-512666-2/00075-4, author pdf, pdf]

Related entries

• Donaldson-Thomas invariant

• Donaldson theory

• h-cobordism theorem

category: people