A function on the homology of 3-manifolds

Vladimir Turaev

doi:10.2140/agt.2007.7.135

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A function on the homology of 3-manifolds

Vladimir Turaev

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Abstract

In analogy with the Thurston norm, we define for an orientable 3-manifold $M$ a numerical function on $H_2(M;Q/Z)$. This function measures the minimal complexity of folded surfaces representing a given homology class. A similar function is defined on the torsion subgroup of $H_1(M)$. These functions are estimated from below in terms of abelian torsions of $M$.

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Vladimir Turaev. 2006-11-21. A function on the homology of 3-manifolds. https://doi.org/10.2140/agt.2007.7.135

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