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math.GT2013★ 1 cited
Monodromy action on unknotting tunnels in fiber surfaces
Jessica E. Banks, Matt Rathbun
In "Tunnel one, fibered links", the second author showed that the tunnel of a tunnel number one, fibered link can be isotoped to lie as a properly embedded arc in the fiber surface…
math.GT2013★ 8 cited
Band surgeries and crossing changes between fibered links
Dorothy Buck, Kai Ishihara, Matt Rathbun +1
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 surgerie…