Computing the Cech cohomology of decomposition spaces
Geometric Topology
2017-12-05 v1 Group Theory
Abstract
A line pattern in a free group is defined by a malnormal collection of cyclic subgroups. Otal defined a decomposition space associated to a line pattern. We provide an algorithm that computes a presentation for the \v{C}ech cohomology of , thought of as a -module. This answers a relative version of a question of Epstein about boundaries of hyperbolic groups.
Cite
@article{arxiv.1712.00780,
title = {Computing the Cech cohomology of decomposition spaces},
author = {Benjamin Barrett},
journal= {arXiv preprint arXiv:1712.00780},
year = {2017}
}
Comments
10 pages, 2 figures