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Stable immersions in orbifolds

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 نشر من قبل Alden Walker
 تاريخ النشر 2013
  مجال البحث
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 تأليف Alden Walker




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We prove that in any hyperbolic orbifold with one boundary component, the product of any hyperbolic fundamental group element with a sufficiently large multiple of the boundary is represented by a geodesic loop that virtually bounds an immersed surface. In the case that the orbifold is a disk, there are some conditions. Our results generalize work of Calegari-Louwsma and resolve a conjecture of Calegari.



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