Examples of homology 3-spheres whose Chern-Simons function is not Morse-Bott

Author:

Boden Hans,Herald Christopher,Kirk Paul

Abstract

We construct two homology 3-spheres for which the (unperturbed) S U ( 2 ) 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 +1 surgeries on connected sums of torus knots.

Publisher

American Mathematical Society

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