Bibliographic Details
| Title: |
Stable immersions in orbifolds |
| Authors: |
Walker, Alden |
| Source: |
Algebr. Geom. Topol. 15 (2015) 1877-1908 |
| Publication Year: |
2013 |
| Collection: |
Mathematics |
| Subject Terms: |
Mathematics - Geometric Topology, 57M07, 20F65, 57R42, 57R18 |
| More Details: |
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.
Comment: Better proofs; better pictures. (27 pages, 21 figures) |
| Document Type: |
Working Paper |
| DOI: |
10.2140/agt.2015.15.1877 |
| Access URL: |
http://arxiv.org/abs/1312.2862 |
| Accession Number: |
edsarx.1312.2862 |
| Database: |
arXiv |
