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On the intersection ring of graph manifolds

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.

preprint2015arXivOpen access
Margaret I. DoigPeter D. Horn
math.GT
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Margaret I. DoigPeter D. Horn

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