Exceptional surgeries on alternating knots
Exceptional surgeries on alternating knots
The famous Hyperbolic Dehn Surgery Theorem due to W. Thurston says that each hyperbolic knot admits only finitely many Dehn surgeries yielding non-hyperbolic manifolds. Concerning the maximal number of such exceptional surgeries, C. Gordon conjectured that there exist at most 10 for each knot. In this article, we report that …