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Band Surgeries and Crossing Changes between Fibered Links

Geometry/Topology

Speaker: Dorothy Buck, Imperial College London
Location: 2112 MSB
Start time: Tue, May 3 2016, 1:10PM

We characterize cutting arcs on ber surfaces that produce new ber surfaces, and the changes in monodromy resulting from such cuts. As a corollary, we characterize band surgeries between bered links and introduce an operation called generalized Hopf banding. We further characterize generalized crossing changes betweenbered links, and the resulting changes in monodromy.