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SUMMARY:Small dilatations of pseudo-Anosov maps on hyperelliptic translati
 on surfaces - Corentin Boissy\, Aix-Marseille
DTSTART:20101020T150000Z
DTEND:20101020T160000Z
UID:TALK26339@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION:A pseuso-Anosov homeomorhism on a surface naturally defines a 
 pair of transverse measured foliations\, and in this way\, a flat structur
 e on the surface. If the foliations are oriented\,  we obtain a translatio
 n surface for which the map is affine.\nIn this talk\, we will prove that 
 the dilatation of any pseudo-Anosov homeomorphism on a translation surface
  that belongs to a hyperelliptic component is bounded from below by the sq
 uare root of 2\, independently of the genus. This is in contrast to Penner
 's asymptotic: indeed\, he proved that the least dilatation of any pseudo-
 Anosov homeomorphism on a surface of genus g tends to one as g tends to in
 finity.
LOCATION:MR13
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