Survey on L2‐invariants and 3‐manifolds
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Publication:6175051
DOI10.1112/blms.12536zbMath1521.57015arXiv2102.04549OpenAlexW3198776214MaRDI QIDQ6175051
Publication date: 17 August 2023
Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.04549
Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Determinants and determinant bundles, analytic torsion (58J52) Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes (57-02) Invariants of 3-manifolds (including skein modules, character varieties) (57K31)
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Cites Work
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- The Farrell-Jones conjecture for arbitrary lattices in virtually connected Lie groups
- Determining Fuchsian groups by their finite quotients
- The \(L^2\)-(co)homology of groups with hierarchies
- The virtual Haken conjecture (with an appendix by Ian Agol, Daniel Groves and Jason Manning).
- On the spectral density function of the Laplacian of a graph
- The Borel conjecture for hyperbolic and CAT(0)-groups
- Approximating \(L^2\)-invariants by their classical counterparts
- Integral foliated simplicial volume of aspherical manifolds
- Degree of \(L^2\)-Alexander torsion for 3-manifolds
- Profinite rigidity for Seifert fibre spaces
- The hyperbolic volume of knots from the quantum dilogarithm
- Torsion homology growth and cycle complexity of arithmetic manifolds
- On finitely generated profinite groups. I: Strong completeness and uniform bounds. II: Products in quasisimple groups.
- The Thurston norm and twisted Alexander polynomials
- Notes on Perelman's papers
- Volume and bounded cohomology
- Homeomorphisms of geometric three-dimensional manifolds
- Analytic and Reidemeister torsion for representations in finite type Hilbert modules
- The Gromov invariant of links
- Reidemeister torsion and the \(K\)-theory of von Neumann algebras
- \(L^ 2\)-analytic torsion
- Heat kernels on covering spaces and topological invariants
- K-theory and operator algebras. Proceedings of a conference held at the University of Georgia in Athens, Georgia, April 21-25, 1975
- Homotopy equivalences of 3-manifolds with boundaries
- \(L^2\)-torsion of hyperbolic manifolds
- \(L^2\)-torsion of hyperbolic manifolds of finite volume
- Approximating \(L^ 2\)-invariants by their finite-dimensional analogues
- Geometry of growth: approximation theorems for \(L^2\) invariants
- Alexander and Thurston norms, and the Bieri-Neumann-Strebel invariants for free-by-cyclic groups
- Profinite rigidity of graph manifolds and JSJ decompositions of 3-manifolds
- Hyperlinearity, essentially free actions and \(L^2\)-invariants. The sofic property
- \(L^ 2\)-topological invariants of 3-manifolds
- \(L^2\)-torsion invariants of a surface bundle over \(S^1\)
- \(S\)-arithmetic spinor groups with the same finite quotients and distinct \(\ell^2\)-cohomology
- Absolute profinite rigidity and hyperbolic geometry
- Injectivity radii of hyperbolic integer homology 3-spheres
- The Bieri-Neumann-Strebel invariants via Newton polytopes
- The strong Atiyah and Lück approximation conjectures for one-relator groups
- Rational manifold models for duality groups
- Virtual homological torsion of closed hyperbolic 3-manifolds
- Approximating \(L^2\)-invariants and homology growth
- Topological rigidity for non-aspherical manifolds
- Localization, Whitehead groups and the Atiyah conjecture
- The \(L^2\)-torsion function and the Thurston norm of 3-manifolds
- The \(K\)-theoretic Farrell-Jones conjecture for hyperbolic groups
- 3-manifold groups
- Determinant theory in finite factors
- $L^2$-determinant class and approximation of $L^2$-Betti numbers
- The action dimension of right‐angled Artin groups
- Graph manifolds with boundary are virtually special
- Seifert fibered spaces in 3-manifolds
- Determinant lines, von Neumann algebras and $L^2$ torsion
- The Farrell–Jones conjecture for virtually solvable groups:
- Criteria for virtual fibering
- $L^2$-torsion invariants and the Magnus representation of the mapping class group
- Mahler measures and Fuglede--Kadison determinants
- L 2 Harmonic Forms on Rotationally Symmetric Riemannian Manifolds
- Speculations Concerning the Range of Mahler's Measure
- Isomorphism Conjectures in Algebraic K-Theory
- Division Rings and Group von Neumann Algebras
- Uniform Approximation to Mahler’s Measure in Several Variables
- Growth of homology torsion in finite coverings and hyperbolic volume
- Twisting L2-invariants with finite-dimensional representations
- On the Integral Cohomology of Bianchi Groups
- The asymptotic growth of torsion homology for arithmetic groups
- Ergodic Theoretic Methods in Group Homology
- Groups and polytopes
- The agrarian polytope of two‐generator one‐relator groups
- The Geometries of 3-Manifolds
- Introduction to ℓ²-invariants
- Residually finite rationally solvable groups and virtual fibring
- Universal L2-torsion, polytopes and applications to 3-manifolds
- The Farrell-Jones Conjecture for cocompact lattices in virtually connected Lie groups
- Virtual cubulation of nonpositively curved graph manifolds
- On sofic groups
- Hyperlinear and Sofic Groups: A Brief Guide
- Infinitesimally homogeneous spaces
- L2‐Euler characteristics and the Thurston norm
- An Embedding Theorem for Spaces of Convex Sets
- Foliations and the topology of 3-manifolds
- Convergence groups are Fuchsian groups
- Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu
- The colored Jones polynomials and the simplicial volume of a knot