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SU(2)-Cyclic Surgeries on Knots

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 نشر من قبل Jianfeng Lin
 تاريخ النشر 2013
  مجال البحث
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 تأليف Jianfeng Lin




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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-Shalens cyclic surgery theorem.



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