arXiv:math-ph/0405049 Abstract

arXiv:math-ph/0405049Abstract References Reviews Resources

Monopoles and Projective Representations: Two Areas of Influence of Yang-Mills Theory on Mathematics

Published 2004-05-18, updated 2004-06-14Version 3

I describe how my involvement with monopoles related to the multimonopole existence proof of Taubes, and how my later work on quaternionic quantum mechanics led to the classification theorem for generalized projective group representations of Tao and Millard.

Comments: 8 pages; for a volume on the influence of Yang-Mills theory on mathematics, G. 't Hooft and W. Nahm, eds., to be published by World Scientific. Final version; references added

Categories: math-ph, hep-th, math.MP, physics.hist-ph

Keywords: yang-mills theory, projective representations, mathematics, multimonopole existence proof, quaternionic quantum mechanics

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