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.
No keywords uploaded!
[ Download ] [ 2022-05-17 18:04:49 uploaded by linjian5477 ] [ 409 downloads ] [ 0 comments ]
  title={SU(2)-cyclic surgery on knot},
  booktitle={International Mathematics Research Notices},
林剑锋. SU(2)-cyclic surgery on knot. 2016. Vol. 19. In International Mathematics Research Notices.
Please log in for comment!
Contact us: | Copyright Reserved