Band surgeries and crossing changes between fibered links
arXiv:1304.6781 · doi:10.1112/jlms/jdw049
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.
27 pages, 10 figures. New version has substantially shortened proof of a key lemma. Additionally, results about monodromy changes have been added