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math.GT2005
A family of pseudo-Anosov braids with small dilatation
Eriko Hironaka, Eiko Kin
This paper concerns a family of pseudo-Anosov braids with dilatations arbitrarily close to one. The associated graph maps and train tracks have stable "star-like" shapes, and the c…
math.GT2005★ 5 cited
Salem-Boyd sequences and Hopf plumbing
Eriko Hironaka
Given a fibered link, consider the characteristic polynomial of the monodromy restricted to first homology. This generalizes the notion of the Alexander polynomial of a knot. We de…