Stable immersions in orbifolds

Alden Walker

doi:10.2140/agt.2015.15.1877

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arXiv · 1312.2862

Stable immersions in orbifolds

Alden Walker

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Abstract

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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Alden Walker. 2014-08-21. Stable immersions in orbifolds. https://doi.org/10.2140/agt.2015.15.1877

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