Examples of homology 3-spheres whose Chern-Simons function is not Morse-Bott
Abstract
We construct two homology 3-spheres for which the (unperturbed) SU(2) Chern-Simons function is not Morse-Bott. In one case, there is a degenerate isolated critical point. In the other, a path component of the critical set is not homeomorphic to a manifold. The examples are +1 surgeries on connected sums of torus knots.
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