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arxiv: 1412.3990 · v3 · pith:7XGHLSEFnew · submitted 2014-12-12 · 🧮 math.GT

On the intersection ring of graph manifolds

classification 🧮 math.GT
keywords graphintersectionmanifoldsringcharacterizationablealgebraicarbitrary
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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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