Open Access
2004 Topology, Geometry and Physics: Background for the Witten Conjecture I.
Gregory L. Naber
J. Geom. Symmetry Phys. 2: 27-123 (2004). DOI: 10.7546/jgsp-2-2004-27-123


The profound, beautiful and, at times, rather mysterious symbiosis between mathematics and physics has always been a source of wonder, but, in the past twenty years, the intensity of the mutual interaction between these two has become nothing short of startling. Our objective here is to provide an introduction, in terms as elementary as possible, to one small aspect of this relationship. Toward this end we shall tell a story. Although we make no attempt to relate it chronologically, the story can be said to begin with the efforts of Yang and Mills to construct a nonabelian generalization of classical electromagnetic theory, and to culminate in a remarkable conjecture of Witten concerning the Donaldson invariants of a smooth four-manifold.


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Gregory L. Naber. "Topology, Geometry and Physics: Background for the Witten Conjecture I.." J. Geom. Symmetry Phys. 2 27 - 123, 2004.


Published: 2004
First available in Project Euclid: 20 May 2017

zbMATH: 1079.58010
MathSciNet: MR2115719
Digital Object Identifier: 10.7546/jgsp-2-2004-27-123

Rights: Copyright © 2004 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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