Band surgeries and crossing changes between fibered links
classification
🧮 math.GT
keywords
changescharacterizefiberedlinksbandcrossingfibergeneralized
read the original 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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