Geodesic
Stable immersions in orbifolds
Walker, Alden1
1Department of Mathematics, University of Chicago, 5734 S University Avenue, Chicago, IL 60637, USA
Algebraic and Geometric Topology, Tome 15 (2015) no. 4, pp. 1877-1908
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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.

DOI : 10.2140/agt.2015.15.1877
Classification : 20F65, 57M07, 57R42, 57R18
Keywords: immersion, orbifold, scl, stable commutator length

Walker, Alden  1

1 Department of Mathematics, University of Chicago, 5734 S University Avenue, Chicago, IL 60637, USA 
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Walker, Alden. Stable immersions in orbifolds. Algebraic and Geometric Topology, Tome 15 (2015) no. 4, pp. 1877-1908. doi: 10.2140/agt.2015.15.1877

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