Stable immersions in orbifolds

作者：Walker Alden^*

来源：Algebraic and Geometric Topology, 2015, 15(4): 1877-1908.

DOI：10.2140/agt.2015.15.1877

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.

• 出版日期2015