Jianru Duan

activity

20222026

L^{2}

-torsion for 3-manifolds

1 citations · 1 across the 4 of their papers we have counts for

collaborators

4 papers

math.GT2026

Flexible exponent of geometric 3-manifolds and Legendrian maps of Seifert spaces

Jianru Duan, Jianfeng Lin, Shicheng Wang +2

A classical question in quantitative topology is to bound the mapping degree $deg (f)$ in terms of its Lipchitz constant $Lip (f)$ . For a closed, orient…

math.GT2025

Universal $L^{2}$ -torsion and sutured decomposition for 3-manifolds

Jianru Duan

Given an admissible 3-manifold $M$ and a cohomology class $ϕ \in H^{1} (M; R)$ , we prove that the universal $L^{2}$ -torsion of $M$ detects the fiberedness of $ϕ$ , except when $M$ …

math.GT2023

Guts determine the leading coefficients of $L^{2}$ -Alexander torsions

Jianru Duan

For 3-manifolds, the leading coefficient of the $L^{2}$ -Alexander torsion is a numerical invariant of a real first cohomology class. We show that the leading coefficient equals the r…

math.GT2022★ 1 cited

On the positivity of twisted $L^{2}$ -torsion for 3-manifolds

Jianru Duan

For any compact orientable irreducible 3-manifold $N$ with empty or incompressible toral boundary, the twisted $L^{2}$ -torsion is a non-negative function defined on the representatio…

Flexible exponent of geometric 3-manifolds and Legendrian maps of Seifert spaces

Universal L2-torsion and sutured decomposition for 3-manifolds

Guts determine the leading coefficients of L2-Alexander torsions

On the positivity of twisted L2-torsion for 3-manifolds

Universal $L^{2}$ -torsion and sutured decomposition for 3-manifolds

Guts determine the leading coefficients of $L^{2}$ -Alexander torsions

On the positivity of twisted $L^{2}$ -torsion for 3-manifolds