On the intersection ring of graph manifolds
Geometric Topology
2015-03-23 v3
Abstract
We calculate the intersection ring of three-dimensional graph manifolds with rational coefficients and give an algebraic characterization of these rings when the manifold's underlying graph is a tree. We are able to use this characterization to show that the intersection ring obstructs arbitrary three-manifolds from being homology cobordant to certain graph manifolds.
Cite
@article{arxiv.1412.3990,
title = {On the intersection ring of graph manifolds},
author = {Margaret I. Doig and Peter D. Horn},
journal= {arXiv preprint arXiv:1412.3990},
year = {2015}
}
Comments
15 pages, 9 figures, addressed referee comments