Structural properties of bounded one-sided surfaces in link spaces
Geometric Topology
2015-03-17 v1
Abstract
Various structural properties are developed for non-orientable surfaces in link spaces. The M\"obius band tree is described to represent genus growth of one-sided surfaces in solid tori. The structure of the Tree allows various insights into the change of genus under boundary slope, which are not possible using the existing continued fractions algorithm. A restriction under which geometrically incompressible, boundary compressible one-sided surfaces have a unique boundary incompressible form away from the boundary is established.
Keywords
Cite
@article{arxiv.1101.2603,
title = {Structural properties of bounded one-sided surfaces in link spaces},
author = {Loretta Bartolini},
journal= {arXiv preprint arXiv:1101.2603},
year = {2015}
}
Comments
20 pages, 6 figures