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VOL. 3 | 2002 $SU(3)$ Generalizations of the Casson Invariant From Gauge Theory
Christopher Herald

Editor(s) Ivaïlo M. Mladenov, Gregory L. Naber

Abstract

This paper is a survey of some recent joint work of Hans Boden, Paul Kirk and the author, as well as work by Cappell, Lee, and Miller, on generalizing the Casson invariant to the group $SU(3)$. The main challenge here is that in this setting there are nontrivial reducible representations. Because of this, the irreducible stratum is not compact, and as a consequence an algebraic count of points does not provide a topological invariant (independent of perturbation).

Information

Published: 1 January 2002
First available in Project Euclid: 12 June 2015

zbMATH: 1009.57016
MathSciNet: MR1884852

Digital Object Identifier: 10.7546/giq-3-2002-278-289

Rights: Copyright © 2002 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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