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.
|Number of pages||26|
|Journal||Journal of the London Mathematical Society|
|Early online date||17 Aug 2016|
|Publication status||Published - 1 Oct 2016|