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TheL2-Alexander torsion of 3-manifolds

Dubois, Jérôme ; Friedl, Stefan ; Lück, Wolfgang


We introduce L-2-Alexander torsions for 3-manifolds, which can be viewed as a generalization of the L-2-Alexander invariant of Li-Zhang. We state the L-2-Alexander torsions for graph manifolds and we partially compute them for fibered manifolds. We furthermore show that, given any irreducible 3-manifold there exists a coefficient system such that the corresponding L-2-torsion detects the Thurston norm.

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