The cyclic cycle complex of a surface
Geometric Topology
2008-06-03 v1
Abstract
A contractible simplicial complex is constructed that parametrizes different ways of representing a fixed one-dimensional homology class in a closed orientable surface by isotopy classes of systems of disjoint oriented simple closed curves. This is a variant on an earlier construction of Bestvina-Bux-Margalit.
Cite
@article{arxiv.0806.0326,
title = {The cyclic cycle complex of a surface},
author = {Allen Hatcher},
journal= {arXiv preprint arXiv:0806.0326},
year = {2008}
}
Comments
7 pages