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arxiv: math/0409033 · v2 · submitted 2004-09-02 · 🧮 math.GT · math.GR

Automorphisms of the Hatcher-Thurston complex

classification 🧮 math.GT math.GR
keywords complexhatcher-thurstonautomorphismscenterclasscompactconnectedextended
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Let S be a compact, connected, orientable surface of positive genus. Let HT(S) be the Hatcher-Thurston complex of S. We prove that Aut(HT(S)) is isomorphic to the extended mapping class group of S modulo its center.

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