On the intersection ring of graph manifolds
arXiv:1412.3990
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.
15 pages, 9 figures, addressed referee comments