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Universal L2-torsion for free-by-cyclic groups

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NPCW05 - Group actions and cohomology in non-positive curvature

The universal L2-torsion, introduced by Friedl and Lück, allows for an extension of the Thurston norm from the setting of 3-manifolds to that of free-by-cyclic groups. We will discuss this extension, and show that this norm and the Alexander norm for F2-by-Z satisfy an inequality analogous to the one satisfied by the Thurston and Alexander norms on 3-manifolds. We will also discuss the relationship between the universal L2-torsion and the Bieri-Neumann-Strebel invariants.

This is joint work with Florian Funke.

This talk is part of the Isaac Newton Institute Seminar Series series.

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