Examples of homology 3-spheres whose Chern-Simons function is not Morse-Bott
Geometric Topology
2023-08-15 v2
Abstract
We construct two homology 3-spheres for which the (unperturbed) 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 surgeries on connected sums of torus knots.
Cite
@article{arxiv.2301.03676,
title = {Examples of homology 3-spheres whose Chern-Simons function is not Morse-Bott},
author = {Hans U Boden and Christopher Herald and Paul Kirk},
journal= {arXiv preprint arXiv:2301.03676},
year = {2023}
}
Comments
8 pages, 5 figures