曲面对角裤子图中层的凸性
几何拓扑
2011-11-07 v1
摘要
我们证明了曲面对角裤子图(diagonal pants graph)中若干层的凸性结果,类比于 Weil-Petersson 完备化中层的外在几何性质。作为推论,我们在对角裤子图中展示了所有可能秩的凸平坦子图。
引用
@article{arxiv.1111.1187,
title = {Convexity of strata in diagonal pants graphs of surfaces},
author = {Javier Aramayona and Cyril Lecuire and Hugo Parlier and Kenneth J. Shackleton},
journal= {arXiv preprint arXiv:1111.1187},
year = {2011}
}
备注
14 pages, 4 figures