Band surgeries and crossing changes between fibered links

Dorothy Buck, Kai Ishihara, Matt Rathbun, Koya Shimokawa

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)557-582
Number of pages26
JournalJournal of the London Mathematical Society
Volume94
Issue number2
Early online date17 Aug 2016
DOIs
Publication statusPublished - 1 Oct 2016

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