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Automorphisms of the Hatcher-Thurston complex

几何拓扑 2007-05-23 v2 群论

摘要

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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引用

@article{arxiv.math/0409033,
  title  = {Automorphisms of the Hatcher-Thurston complex},
  author = {Elmas Irmak and Mustafa Korkmaz},
  journal= {arXiv preprint arXiv:math/0409033},
  year   = {2007}
}

备注

Some editorial changes are made, the list of references is expanded