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SU(2)-cyclic surgery on knot

林剑锋 University of California Los Angeles

Geometric Analysis and Geometric Topology mathscidoc:2205.15009

International Mathematics Research Notices, 19, 2016.5
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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@inproceedings{林剑锋2016su(2)-cyclic,
  title={SU(2)-cyclic surgery on knot},
  author={林剑锋},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220517180449471896254},
  booktitle={International Mathematics Research Notices},
  volume={19},
  year={2016},
}
林剑锋. SU(2)-cyclic surgery on knot. 2016. Vol. 19. In International Mathematics Research Notices. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220517180449471896254.
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