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math.GT2009
Mapping class groups of medium distance Heegaard splittings
Jesse Johnson
We show that if the Hempel distance of a Heegaard splitting is larger than three then the mapping class group of the Heegaard splitting is isomorphic to a subgroup of the mapping c…
math.GT2009★ 3 cited
On the existence of high index topologically minimal surfaces
David Bachman, Jesse Johnson
The topological index of a surface was previously introduced by the first author as the topological analogue of the index of an unstable minimal surface. Here we show that surfaces…