A function on the homology of 3-manifolds
Vladimir Turaev
Abstract
In analogy with the Thurston norm, we define for an orientable 3-manifold M a numerical function on H2(M;Q/Z). This function measures the minimal complexity of folded surfaces representing a given homology class. A similar function is defined on the torsion subgroup of H1(M). These functions are estimated from below in terms of abelian torsions of M.
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