2 papers
math.GT2005
Seifert fibered surgeries which do not arise from primitive/Seifert-fibered constructions
Thomas W. Mattman, Katura Miyazaki, Kimihiko Motegi
We construct two infinite families of knots each of which admits a Seifert fibered surgery with none of these surgeries coming from Dean's primitive/Seifert-fibered construction. T…
math.GT2004
Bounds on the Crosscap Number of Torus Knots
Thomas W. Mattman, Owen Sizemore
For a torus knot K, we bound the crosscap number c(K) in terms of the genus g(K) and crossing number n(K): c(K) \leq [(g(K)+9)/6] and c(K) \leq [(n(K) + 16)/12]. The (6n-2,3) torus…