Convexity of strata in diagonal pants graphs of surfaces
Geometric Topology
2011-11-07 v1
Abstract
We prove a number of convexity results for strata of the diagonal pants graph of a surface, in analogy with the extrinsic geometric properties of strata in the Weil-Petersson completion. As a consequence, we exhibit convex flat subgraphs of every possible rank inside the diagonal pants graph.
Keywords
Cite
@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}
}
Comments
14 pages, 4 figures