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Raz Slutsky

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Preprint Aug 2026

Sparse Random Covers and Growth of Torsion in First Homology

We construct random open covers of higher-rank locally symmetric spaces using a construction we call scaffolded Poisson processes. Let $X=G/K$ be a symmetric space of noncompact type and real rank at least $2$. We prove a general vanishing theorem for the normalized torsion in first homology along sequences of torsion-...

Raz Slutsky · 0 citations