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CATEGORIES:Differential Geometry and Topology Seminar
SUMMARY:Small dilatations of pseudo-Anosov maps on hyperel
liptic translation surfaces - Corentin Boissy\, Ai
x-Marseille
DTSTART;TZID=Europe/London:20101020T160000
DTEND;TZID=Europe/London:20101020T170000
UID:TALK26339AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/26339
DESCRIPTION:A pseuso-Anosov homeomorhism on a surface naturall
y defines a pair of transverse measured foliations
\, and in this way\, a flat structure on the surfa
ce. If the foliations are oriented\, we obtain a
translation surface for which the map is affine.\n
In this talk\, we will prove that the dilatation o
f any pseudo-Anosov homeomorphism on a translation
surface that belongs to a hyperelliptic component
is bounded from below by the square root of 2\, i
ndependently of the genus. This is in contrast to
Penner's asymptotic: indeed\, he proved that the l
east dilatation of any pseudo-Anosov homeomorphism
on a surface of genus g tends to one as g tends t
o infinity.
LOCATION:MR13
CONTACT:Ivan Smith
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