An asymptotic behavior of the dilatation for a family of pseudo-Anosov braids

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dc.creatorKin, Eiko
dc.creatorTakasawa, Mitsuhiko
dc.date2007-11-19
dc.date.accessioned2026-07-07T08:43:55Z
dc.date.available2026-07-07T08:43:55Z
dc.descriptionThe dilatation of a pseudo-Anosov braid is a conjugacy invariant. In this paper, we study the dilatation of a special family of pseudo-Anosov braids. We prove an inductive formula to compute their dilatation, a monotonicity and an asymptotic behavior of the dilatation for this family of braids. We also give an example of a family of pseudo-Anosov braids with arbitrarily small dilatation such that the mapping torus obtained from such braid has 2 cusps and has an arbitrarily large volume.
dc.description20 pages, 13 figures
dc.identifierhttps://arxiv.org/abs/0711.3009
dc.identifierhttp://arxiv.org/abs/0711.3009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142481
dc.subjectGeometric Topology
dc.subjectDynamical Systems
dc.subject37E30, 57M27 (Primary) 57M50 (Secondary)
dc.titleAn asymptotic behavior of the dilatation for a family of pseudo-Anosov braids
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