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The Integer Valued SU(3) Casson Invariant for Brieskorn spheres

Hans U. Boden·Christopher M. Herald·Paul A. Kirk
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Abstract

We develop techniques for computing the integer valued SU(3) Casson invariant. 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 the invariant for all Brieskorn homology spheres.

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Hans U. Boden, Christopher M. Herald, Paul A. Kirk. 2003-11-11. The Integer Valued SU(3) Casson Invariant for Brieskorn spheres. https://doi.org/10.4310/jdg%2F1143644312

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