Celebratio Mathematica — Atiyah

Papers on gauge theories

Works connected to Shiing-Shen Chern

Filter the Bibliography List

year	title	people

			clear

M. F. Atiyah: “Real and complex geometry in four dimensions,” pp. 1–10 in The Chern Symposium 1979 (Berkeley, CA, June 1979). Edited by W. Y. Hsiang. Springer (New York), 1980. MR 609554 Zbl 0454.53043 incollection

Some fifty years ago Einstein’s theory of general relativity provided a great stimulus for different geometry, but after a period of fruitful interaction the interests of geometers and physicists diverged. Within the past few years there has been a resurgence of geometrical ideas in physics, arising partly from the popularity of gauge theories in elementary-particle physics and partly from the work of Hawking and Penrose on black holes. A characteristic feature in both cases has been the significance of global or topological properties, and it is this feature which has particularly attracted mathematicians.

The ideas and problems arising in this way have had a considerable impact on geometry, especially the differential geometry of four dimensions. Through the remarkable twistor theory of Penrose [1977] there is also an intimate connection with complex analytic geometry. In this lecture I shall attempt to survey these mathematical developments with especial emphasis on Penrose’s ideas and their application.

S. S. Chern	Related	Volume
Wu-yi Hsiang	Related

M. F. Atiyah: “Gauge theory and algebraic geometry,” pp. 1–20 in Differential geometry and differential equations (Beijing, 1980), vol. 1. Edited by S.-S. Chern and W.-t. Wu. Science Press, Gordon and Breach (Beijing, New York), 1982. Zbl 0544.14012 incollection

Wen-tsün Wu	Related
S. S. Chern	Related	Volume