Band surgeries and crossing changes between fibered links
Geometric Topology
2017-05-17 v3
Abstract
We characterize cutting arcs on fiber surfaces that produce new fiber surfaces, and the changes in monodromy resulting from such cuts. As a corollary, we characterize band surgeries between fibered links and introduce an operation called Generalized Hopf banding. We further characterize generalized crossing changes between fibered links, and the resulting changes in monodromy.
Cite
@article{arxiv.1304.6781,
title = {Band surgeries and crossing changes between fibered links},
author = {Dorothy Buck and Kai Ishihara and Matt Rathbun and Koya Shimokawa},
journal= {arXiv preprint arXiv:1304.6781},
year = {2017}
}
Comments
27 pages, 10 figures. New version has substantially shortened proof of a key lemma. Additionally, results about monodromy changes have been added