On the intersection ring of graph manifolds

Doig, Margaret; Horn, Peter

doi:10.1090/tran/6722

On the intersection ring of graph manifolds
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by Margaret I. Doig and Peter D. Horn PDF

Trans. Amer. Math. Soc. 369 (2017), 1185-1203 Request permission

Abstract:

We calculate the intersection ring of 3-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 3-manifolds from being homology cobordant to certain graph manifolds.

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