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Real and Complex Geometry in Four Dimensions

In: The Chern Symposium 1979

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  • M. F. Atiyah

    (Oxford University, Mathematical Institute)

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.

Suggested Citation

  • M. F. Atiyah, 1980. "Real and Complex Geometry in Four Dimensions," Springer Books, in: W.-Y. Hsiang & S. Kobayashi & I. M. Singer & J. Wolf & H.-H. Wu & A. Weinstein (ed.), The Chern Symposium 1979, pages 1-10, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4613-8109-9_1
    DOI: 10.1007/978-1-4613-8109-9_1
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