Title of article :
Exceptional surgeries on -pretzel knots
Author/Authors :
Ichihara، نويسنده , , Kazuhiro and Jong، نويسنده , , In Dae and Kabaya، نويسنده , , Yuichi، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2012
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.
Keywords :
Rasmussen invariant , Magic manifold , Pretzel knot , Exceptional surgery , Seifert fibered surgery , JSJ-decomposition , Toroidal surgery
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications