Open Access
September 2005 The integer valued SU(3) Casson invariant for Brieskorn spheres
Hans U. Boden, Christopher M. Herald, Paul A. Kirk
J. Differential Geom. 71(1): 23-83 (September 2005). DOI: 10.4310/jdg/1143644312


We develop techniques for computing the integer valued SU(3) Casson invariant defined in [6]. Our method involves resolving the singularities in the flat moduli space using a twisting perturbation and analyzing its effect on the topology of the perturbed flat moduli space. These techniques, together with Bott-Morse theory and the splitting principle for spectral flow, are applied to calculate τSU(3)(Σ) for all Brieskorn homology spheres.


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Hans U. Boden. Christopher M. Herald. Paul A. Kirk. "The integer valued SU(3) Casson invariant for Brieskorn spheres." J. Differential Geom. 71 (1) 23 - 83, September 2005.


Published: September 2005
First available in Project Euclid: 29 March 2006

zbMATH: 1098.57008
MathSciNet: MR2191768
Digital Object Identifier: 10.4310/jdg/1143644312

Rights: Copyright © 2005 Lehigh University

Vol.71 • No. 1 • September 2005
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