Homology growth, hyperbolization, and fibering

DOI10.1007/s00039-024-00667-warXiv2301.06112MaRDI QIDQ6196903

Boris L. Okun, Grigori Avramidi, Kevin Schreve

Publication date: 15 March 2024

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.06112

zbMATH Keywords

Euler characteristicaspherical manifoldhyperbolic reflection groupBetti numbergraph producthomological fibering

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Hyperbolic groups and nonpositively curved groups (20F67)

Cites Work

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• 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 growth of Betti numbers in \(p\)-adic analytic towers
• Flag-no-square triangulations and Gromov boundaries in dimension 3.
• Separable subsets of GFERF negatively curved groups.
• Aspherical manifolds, relative hyperbolicity, simplicial volume and assembly maps.
• Weighted \(L^2\)-cohomology of Coxeter groups.
• Compactly supported cohomology of buildings.
• The lower central series of the free partially commutative group
• Cut points and canonical splittings of hyperbolic groups
• \(L^ 2\)-Betti numbers of mapping tori and groups
• Approximating \(L^ 2\)-invariants by their finite-dimensional analogues
• On quasiconvex subgroups of negatively curved groups
• Growth of Betti numbers
• Property (T) and Kazhdan constants for discrete groups
• Hyperbolic Coxeter groups of large dimension.
• On universal fields of fractions for free algebras
• Relative hyperbolization and aspherical bordisms: An addendum to: ``Hyperbolization of polyhedra
• Strict hyperbolization
• The topology at infinity of Coxeter groups and buildings
• Van Kampen's embedding obstruction is incomplete for 2-complexes in \(\mathbb{R}^ 4\)
• When is the graph product of hyperbolic groups hyperbolic?
• A combination theorem for special cube complexes.
• A construction of hyperbolic Coxeter groups.
• The universality of Hughes-free division rings
• Mod \(p\) and torsion homology growth in nonpositive curvature
• Free division rings of fractions of crossed products of groups with Conradian left-orders
• Riemannian hyperbolization
• Rational manifold models for duality groups
• Amenability of groups is characterized by Myhill's theorem
• Generalized triangle groups, expanders, and a problem of Agol and Wise
• Aspherical manifolds with relatively hyperbolic fundamental groups.
• Special cube complexes
• Hyperbolic 5-manifolds that fiber over \(S^1\)
• The action dimension of right‐angled Artin groups
• RELATIVELY HYPERBOLIC GROUPS
• Applications of a New K-Theoretic Theorem to Soluble Group Rings
• The limit of $\mathbb{F}_{p}$-Betti numbers of a tower of finite covers with amenable fundamental groups
• On the Differential Form Spectrum of Negatively Curved Riemannian Manifolds
• Criteria for virtual fibering
• Isomorphisms of Graph Groups
• Universal fields of fractions for polycyclic group algebras
• Division Rings and Group von Neumann Algebras
• On Embedding of Group Rings of Residually Torsion Free Nilpotent Groups into Skew Fields
• Agrarian and $L^2$-invariants
• Residually finite rationally solvable groups and virtual fibring
• Hyperplane sections in arithmetic hyperbolic manifolds
• Manifold Phenomena in the Theory of Polyhedra
• Localization and the AR Property
• Division Rings of Fractions for Group Rings
• Relatively hyperbolic groups
• Commensurability of graph products
• Fibered cohomology classes in dimension three, twisted Alexander polynomials and Novikov homology
• L2-Betti Numbers and their Analogues in Positive Characteristic
• Hyperbolic groups acting improperly