Band surgeries and crossing changes between fibered links

Dorothy Buck; Kai Ishihara; Matt Rathbun; Koya Shimokawa

doi:10.1112/jlms/jdw049

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arXiv · 1304.6781

Band surgeries and crossing changes between fibered links

Dorothy Buck·Kai Ishihara·Matt Rathbun·Koya Shimokawa

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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.

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Dorothy Buck, Kai Ishihara, Matt Rathbun, Koya Shimokawa. 2013-04-25. Band surgeries and crossing changes between fibered links. https://doi.org/10.1112/jlms%2Fjdw049

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