The SU(3) Casson Invariant for Integral Homology 3-Spheres

Abstract

We derive a gauge theoretic invariant of integral homology 3-spheres which counts gauge orbits of irreducible, perturbed flat SU(3) connections with sign given by spectral flow. To compensate for the dependence of this sum on perturbations, the invariant includes contributions from the reducible, perturbed flat orbits. Our formula for the correction term generalizes that given by Walker in his extension of Casson's SU(2) invariant to rational homology 3-spheres.

63 pages, 2 figures, to appear in J. Diff. Geom

References in corpus (1)

• Finite type invariants of integral homology 3-spheres: A survey

Cited by in corpus (14)

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• Universal structures in $\mathbb{C}$-linear enumerative invariant theories
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