Masakazu Teragaito

Dehn surgeries on knots which yield lens spaces and genera of knots

Author(s): Goda, Hiroshi; Teragaito, Masakazu | Abstract: Let

CREATING KLEIN BOTTLES BY SURGERY ON KNOTS

K

Distance between toroidal surgeries on hyperbolic knots in the 3-sphere

be a hyperbolic knot in the 3-sphere. If

Reducing dehn fillings and small surfaces

r

Boundary slopes of non-orientable Seifert surfaces for knots

-surgery on

Toroidal surgeries on hyperbolic knots

K

LINKS WITH SURGERY YIELDING THE 3-SPHERE

yields a lens space, then we show that the order of the fundamental group of the lens space is at most

Alexander polynomials of doubly primitive knots

12g-7

P 2 -reducing and toroidal Dehn fillings

, where

Left-orderable fundamental groups and Dehn surgery on genus one 2–bridge knots

g