Article ID Journal Published Year Pages File Type
4659765 Topology and its Applications 2012 10 Pages PDF
Abstract

We give a complete description of exceptional surgeries on pretzel knots of type (−2,p,p) with p⩾5. It is known that such a knot admits a unique toroidal surgery yielding a toroidal manifold with a unique incompressible torus. By cutting along the torus, we obtain two connected components, one of which is a twisted I-bundle over the Klein bottle. We show that the other is homeomorphic to the one obtained by certain Dehn filling on the magic manifold. On the other hand, we show that all such pretzel knots admit no Seifert fibered surgeries.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology