Dorothy Buck, Kai Ishihara, Matt Rathbun, Koya Shimokawa
Published 2013-04-25, updated 2014-07-15Version 3
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.
Comments: 27 pages, 10 figures. New version has substantially shortened proof of a key lemma. Additionally, results about monodromy changes have been added
Fiber surfaces from alternating states
Quantum representations and monodromies of fibered links
Nearly fibered links with genus one
![QR code for arXiv:1304.6781 [math.GT]](http://oss.arxitics.com/images/favicon.svg)