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Least dilatation of pure surface braids

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 نشر من قبل Marissa Loving
 تاريخ النشر 2018
  مجال البحث
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 تأليف Marissa Loving




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We study the minimal dilatation of pseudo-Anosov pure surface braids and provide upper and lower bounds as a function of genus and the number of punctures. For a fixed number of punctures, these bounds tend to infinity as the genus does. We also bound the dilatation of pseudo-Anosov pure surface braids away from zero and give a constant upper bound in the case of a sufficient number of punctures.

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