For higher-rank locally symmetric spaces and affine buildings, generator number and logarithmic first-homology torsion grow sublinearly in volume when the injectivity radius is large or along Benjamini-Schramm convergent sequences.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.GR 1years
2026 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
Sparse Random Covers and Growth of Torsion in First Homology
For higher-rank locally symmetric spaces and affine buildings, generator number and logarithmic first-homology torsion grow sublinearly in volume when the injectivity radius is large or along Benjamini-Schramm convergent sequences.