On Crossing Ball Structure in Knot and Link Complements
Geometric Topology
2021-04-16 v3
Abstract
We develop a word mechanism applied in knot and link diagrams for the illustration of a diagrammatic property. We also give a necessary condition for determining incompressible and pairwise incompressible surfaces, that are embedded in knot or link complements. Finally, we give a finiteness theorem and an upper bound on the Euler characteristic of such surfaces.
Cite
@article{arxiv.2101.02945,
title = {On Crossing Ball Structure in Knot and Link Complements},
author = {Wei Lin},
journal= {arXiv preprint arXiv:2101.02945},
year = {2021}
}
Comments
21 pages, 14 figures