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.
Citation
Alden Walker. "Stable immersions in orbifolds." Algebr. Geom. Topol. 15 (4) 1877 - 1908, 2015. https://doi.org/10.2140/agt.2015.15.1877
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