SU(2)-Cyclic Surgeries on Knots

Jianfeng Lin

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arXiv · 1307.0070

SU(2)-Cyclic Surgeries on Knots

Jianfeng Lin

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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.

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Jianfeng Lin. 2013-07-02. SU(2)-Cyclic Surgeries on Knots. https://arxiv.org/abs/1307.0070

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