On the intersection ring of graph manifolds

2014/12/12 by Doig, Margaret I., Horn, Peter D. · 1 citation
#57M27 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/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.

Cited by

• The cohomology ring of the boundary manifold of a combinatorial line arrangement

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