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20022011
most citedTangle sums and factorization of A-polynomials

3 citations

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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…

math.GT2002

Exceptional surgery and boundary slopes

Masaharu Ishikawa, Thomas W. Mattman, Koya Shimokawa

Let X be a norm curve in the SL(2,C)-character variety of a knot exterior M. Let t = || b || / || a || be the ratio of the Culler-Shalen norms of two distinct non-zero classes a, b…