SU(2)-Cyclic Surgeries on Knots
Geometric Topology
2013-07-03 v2
Abstract
A surgery on a knot in 3-sphere is called SU(2)-cyclic if it gives a manifold whose fundamental group has no non-cyclic SU(2) representations. Using holonomy perturbations on the Chern-Simons functional, we prove that the distance of two SU(2)-cyclic surgery coefficients is bounded by the sum of the absolute values of their numerators. This is an analog of Culler-Gordon-Luecke-Shalen's cyclic surgery theorem.
Keywords
Cite
@article{arxiv.1307.0070,
title = {SU(2)-Cyclic Surgeries on Knots},
author = {Jianfeng Lin},
journal= {arXiv preprint arXiv:1307.0070},
year = {2013}
}