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

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

2003-11-11

arxiv.org/abs/math/0311173v1

J. Diff. Geom. 71 (2005) 23-83

Mathematics

Geometric Topology

50 pages, 3 figures

Scientific paper

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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