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