Real and Complex Geometry in Four Dimensions

M. F. Atiyah
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M. F. Atiyah: Oxford University, Mathematical Institute

A chapter in The Chern Symposium 1979, 1980, pp 1-10 from Springer

Abstract: Abstract 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.

Keywords: Weyl Tensor; Magnetic Monopole; Twistor Theory; Sheaf Cohomology; Kummer Surface (search for similar items in EconPapers)
Date: 1980
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4613-8109-9_1

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DOI: 10.1007/978-1-4613-8109-9_1

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