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arxiv: 0910.2038 · v1 · submitted 2009-10-11 · 🧮 math.GT

Automorphisms of the disk complex

classification 🧮 math.GT
keywords groupautomorphismcomplexdiskhandlebodyautomorphismsisomorphicouter
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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 trivial.

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