Dehn surgery, the fundamental group and SU(2)
Geometric Topology
2007-05-23 v1
Abstract
Let K be a non-trivial knot in the 3-sphere and let Y(r) be the 3-manifold obtained by surgery on K with surgery-coefficient a rational number r. We show that there is a homomorphism from the fundamental group of Y(r) to SU(2) with non-cyclic image if r is less than or equal to 2.
Keywords
Cite
@article{arxiv.math/0312322,
title = {Dehn surgery, the fundamental group and SU(2)},
author = {P. B. Kronheimer and T. S. Mrowka},
journal= {arXiv preprint arXiv:math/0312322},
year = {2007}
}
Comments
15 pages