On the intersection ring of graph manifolds

Margaret I. Doig; Peter D. Horn

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arXiv · 1412.3990

On the intersection ring of graph manifolds

Margaret I. Doig·Peter D. Horn

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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.

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Margaret I. Doig, Peter D. Horn. 2015-03-20. On the intersection ring of graph manifolds. https://arxiv.org/abs/1412.3990

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