中文

自由群的自由分裂复形 I:双曲性

群论 2014-11-11 v2 几何拓扑

摘要

我们证明有限秩自由群的自自由分裂复形(也称为 Hatcher 球面复形)是双曲的。

关键词

引用

@article{arxiv.1111.1994,
  title  = {The free splitting complex of a free group I: Hyperbolicity},
  author = {Michael Handel and Lee Mosher},
  journal= {arXiv preprint arXiv:1111.1994},
  year   = {2014}
}

备注

85 pages, including index and glossary. Many figures in the free splitting complex, in the guise of commutative diagrams of maps between free splittings. Changes from Version 1 to Version 2: Corrected an error in the proof of Proposition 6.5, Step 2. Revamped the theory of free splitting units in Section 5