On the positivity of twisted \(L^2\)-torsion for 3-manifolds

DOI10.2140/AGT.2024.24.2307zbMATH Open1547.57042MaRDI QIDQ6596257

Jianru Duan

Publication date: 2 September 2024

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

zbMATH Keywords

3-manifoldstwisted \(L^2\)-torsion

Mathematics Subject Classification ID

Invariants of 3-manifolds (including skein modules, character varieties) (57K31)

Cites Work

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• The virtual Haken conjecture (with an appendix by Ian Agol, Daniel Groves and Jason Manning).
• Degree of \(L^2\)-Alexander torsion for 3-manifolds
• The \(L^2\)-Alexander torsion is symmetric
• Lifting representations to covering groups
• Algebraic K-theory of generalized free products. II
• Reidemeister torsion of Seifert fibered spaces for \(SL(2;\mathbb{C})\)-representations
• The \(L^2\)-Alexander torsions of 3-manifolds
• The \(L^2\)-Alexander torsion for Seifert fiber spaces
• The \(L^2\)-torsion function and the Thurston norm of 3-manifolds
• Criteria for virtual fibering
• Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110)
• Topological Invariance of Whitehead Torsion
• Mixed 3-manifolds are virtually special
• Twisting L2-invariants with finite-dimensional representations
• The Geometries of 3-Manifolds
• AN L²-ALEXANDER INVARIANT FOR KNOTS

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