用分支覆盖表示 Dehn twists
几何拓扑
2012-01-18 v6
摘要
我们证明了带有边界的紧曲面 F 的任何同调非平凡 Dehn twist 都是关于适当分支覆盖 p : F -> B^2 的提升，对应于辫群 B_n 中的半 twist。特别地，我们允许曲面具有不连通的边界。作为推论，B^2 上的任何容许 Lefschetz 纤维化都是 B^2 x B^2 的分支覆盖。
引用
@article{arxiv.0710.0102,
title = {Representing Dehn twists with branched coverings},
author = {Daniele Zuddas},
journal= {arXiv preprint arXiv:0710.0102},
year = {2012}
}
评论
Major revision. It has been added Corollary 3 about the lifting homomorphism. Are been added also some remarks and are given some other definitions. There are now 19 figures and 23 pages