3 problems

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Bergeron–Venkatesh–Lück torsion growth conjecture for 3-manifolds
Let $M$ be a compact connected orientable and irreducible $3$ -manifold with infinite fundamental group and empty or toroidal boundary. A cofinal tower of regular finite-sheeted cov…
Conjectureopen3-manifolds homological-torsion hyperbolic-geometryarXiv posted 3 days ago
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The exponential torsion growth conjecture for 3-manifolds
Exponential torsion growth conjecture. The $L^2$ -torsion of every such manifold $M$ can be approximated by the homological torsion in a cofinal tower of regular finite-sheeted cove…
Conjectureopen3-manifolds homological-torsion l2-invariantsarXiv posted 3 days ago
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Torsion-volume growth lower bound for biperiodic alternating links
Let $\mathcal L$ be a hyperbolic biperiodic alternating link, and let $\{X(L_n)\}$ be the associated sequence of finite-volume covers described above. Write $TH_1(X(L_n))$ for the…
Conjectureopenalternating-links homological-torsion hyperbolic-3-manifoldsarXiv posted 3 days ago

Bergeron–Venkatesh–Lück torsion growth conjecture for 3-manifolds