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math.GT2009★ 2 cited
On nonsimple knots in lens spaces with tunnel number one
Michael J. Williams
A knot k in a closed orientable 3-manifold is called nonsimple if the exterior of k possesses a properly embedded essential surface of nonnegative Euler characteristic. We show tha…
math.GT2007
Lens space surgeries & primitive/Seifert type constructions
Michael J. Williams
We show that lens space surgeries on knots in which arise from the primitive/Seifert type construction also arise from the primitive/primitive construction. This is the first…