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math.GT2009★ 6 cited
Automorphisms of the disk complex
Mustafa Korkmaz, Saul Schleimer
We show that the automorphism group of the disk complex is isomorphic to the handlebody group. Using this, we prove that the outer automorphism group of the handlebody group is tri…
math.GT2009★ 13 cited
Waldhausen's Theorem
Saul Schleimer
This note is an exposition of Waldhausen's proof of Waldhausen's Theorem: the three-sphere has a single Heegaard splitting, up to isotopy, in every genus. As a necessary step we al…