A homological estimate for the Thurston norm

Abstract

We establish a new homological lower bound for the Thurston norm on 1-cohomology of 3-manifolds. This generalizes previous results of C. McMullen, S. Harvey, and the author. We also establish an analogous lower bound for 1-cohomology of 2-dimensional CW-complexes.

32 pages, no figures

References in corpus (1)

• A norm for the cohomology of 2-complexes

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• An introduction to the abelian Reidemeister torsion of three-dimensional manifolds
• Homology cylinders of higher-order
• Virtual homological spectral radii for automorphisms of surfaces