Lipschitz connectivity and filling invariants in solvable groups and buildings
Geometric Topology
2014-11-11 v2
Abstract
We give some new methods, based on Lipschitz extension theorems, for bounding filling invariants of subsets of nonpositively curved spaces. We apply our methods to find sharp bounds on higher-order Dehn functions of Sol_{2n+1}, horospheres in euclidean buildings, Hilbert modular groups, and certain S-arithmetic groups.
Keywords
Cite
@article{arxiv.1303.1162,
title = {Lipschitz connectivity and filling invariants in solvable groups and buildings},
author = {Robert Young},
journal= {arXiv preprint arXiv:1303.1162},
year = {2014}
}
Comments
32 pages, 2 figures; minor revisions