TheL2-Alexander torsion of 3-manifolds

DOI10.1112/jtopol/jtw013zbMath1355.57009arXiv1410.6918OpenAlexW2964088317MaRDI QIDQ2826650

Stefan Friedl, Wolfgang Lück, Jérôme Dubois

Publication date: 18 October 2016

Published in: Journal of Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.6918

zbMATH Keywords

3-manifoldThurston normfibered manifold\(L^2\)-torsion\(L^2\)-Alexander torsion

Mathematics Subject Classification ID

Related Items (11)

A Survey of the Thurston Norm ⋮ Twisted \(L^2\)-torsion on the character variety ⋮ Localization, Whitehead groups and the Atiyah conjecture ⋮ The \(L^2\)-Alexander torsion for Seifert fiber spaces ⋮ The leading coefficient of the \(L^2\)-Alexander torsion ⋮ The L2-Alexander invariant is stronger than the genus and the simplicial volume ⋮ Twisting L2-invariants with finite-dimensional representations ⋮ Degree of \(L^2\)-Alexander torsion for 3-manifolds ⋮ The \(L^2\)-torsion polytope of amenable groups ⋮ Random walks on graphs and approximation of \(L^2\)-invariants ⋮ Fuglede-Kadison determinants over free groups and Lehmer's constants

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Exponential growth of torsion in abelian coverings
• Twisted Reidemeister torsion, the Thurston norm and fibered manifolds
• The virtual fibering theorem for 3-manifolds
• \(L^{2}\)-Alexander invariant for torus knots
• The \(L^2\)-Alexander torsion is symmetric
• On reciprocality of twisted Alexander invariants
• On locally indicable groups
• Algebraic K-theory of generalized free products. II
• Endomorphisms of symbolic algebraic varieties
• \(L^2\)-torsion of hyperbolic manifolds of finite volume
• Approximating \(L^ 2\)-invariants by their finite-dimensional analogues
• Residual amenability and the approximation of \(L^2\)-invariants
• Normalized entropy versus volume for pseudo-Anosovs
• Hyperlinearity, essentially free actions and \(L^2\)-invariants. The sofic property
• Noncommutative knot theory
• The \(L^2\)-Alexander invariant detects the unknot
• Higher-order polynomial invariants of 3-manifolds giving lower bounds for the Thurston norm
• $L^2$-determinant class and approximation of $L^2$-Betti numbers
• Graph manifolds with boundary are virtually special
• The decategorification of sutured Floer homology
• A Survey of Twisted Alexander Polynomials
• Criteria for virtual fibering
• Reidemeister torsion in knot theory
• Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110)
• Topological Invariance of Whitehead Torsion
• Uniform Approximation to Mahler’s Measure in Several Variables
• Poincaré duality and degrees of twisted Alexander polynomials
• Virtual cubulation of nonpositively curved graph manifolds
• On sofic groups
• AN L²-ALEXANDER INVARIANT FOR KNOTS
• Weighted L²-invariants and applications to knot theory
• Whitehead torsion
• Foliations and the topology of 3-manifolds
• Representations of knot groups and twisted Alexander polynomials

This page was built for publication: TheL²-Alexander torsion of 3-manifolds