15 citations · 43 across the 11 of their papers we have counts for
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math.GT2007★ 3 cited
Automorphisms of the three-torus preserving a genus three Heegaard splitting
Jesse Johnson
The mapping class group of a Heegaard splitting is the group of connected components in the set of automorphisms of the ambient manifold that map the Heegaard surface onto itself.…
math.GT2007
Generalized handlebody sets and non-Haken 3-manifolds
Jesse Johnson, Terk Patel
In the curve complex for a surface, a handlebody set is the set of loops that bound properly embedded disks in a given handlebody bounded by the surface. A boundary set is the set…
math.GT2007★ 3 cited
Stable functions and common stabilizations of Heegaard splittings
Jesse Johnson
We present a new proof of Reidemeister and Singer's Theorem that any two Heegaard splittings of the same 3-manifold have a common stabilization. The proof leads to an upper bound o…