L^2-Betti numbers in prime characteristic and a conjecture of Wise

Grigori Avramidi; Wolfgang Lueck

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arXiv · 2602.04655

L^2-Betti numbers in prime characteristic and a conjecture of Wise

Grigori Avramidi·Wolfgang Lueck

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Abstract

We systematically study L^2-Betti numbers in zero and prime characteristic and apply them to a conjecture of Wise stating that all towers of a finite 2-complex are non-positive if and only if the second L^2-Betti number vanishes.

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BibTeX RIS

Grigori Avramidi, Wolfgang Lueck. 2026-02-04. L^2-Betti numbers in prime characteristic and a conjecture of Wise. https://arxiv.org/abs/2602.04655

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