Injectivity radii of hyperbolic integer homology 3-spheres

DOI10.2140/gt.2015.19.497zbMath1312.57022arXiv1304.0391OpenAlexW3101583560WikidataQ123114946 ScholiaQ123114946MaRDI QIDQ2260561

Nathan M. Dunfield, Jeffrey F. Brock

Publication date: 11 March 2015

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

Full work available at URL: https://arxiv.org/abs/1304.0391

zbMATH Keywords

injectivity radiusBenjamini-Schramm convergenceRay-Singer analytic torsiontorsion growthhyperbolic integer homology 3-sphere

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Related Items (14)

Torsion homology growth in arithmetic groups ⋮ Geometry of the smallest 1-form Laplacian eigenvalue on hyperbolic manifolds ⋮ Growth of homology torsion in finite coverings and hyperbolic volume ⋮ Norms on the cohomology of hyperbolic 3-manifolds ⋮ Stable isoperimetric ratios and the Hodge Laplacian of hyperbolic manifolds ⋮ Torsion homology growth for noncongruence subgroups of Bianchi groups ⋮ Survey on L2‐invariants and 3‐manifolds ⋮ Linking topological spheres ⋮ Torsion homology growth and cycle complexity of arithmetic manifolds ⋮ Analytic, Reidemeister and homological torsion for congruence three-manifolds ⋮ Torsion homology and regulators of isospectral manifolds ⋮ Homology and homotopy complexity in negative curvature ⋮ Asymptotics of analytic torsion for hyperbolic three-manifolds ⋮ Analytic Torsion, Regulators and Arithmetic Hyperbolic Manifolds

Uses Software

• Magma

Cites Work

• Homology torsion growth and Mahler measure
• On the growth of Betti numbers of locally symmetric spaces
• The measure of the limit set of the handlebody group
• Heat kernels on covering spaces and topological invariants
• Analytic torsion and R-torsion of Riemannian manifolds
• Analytic torsion and the heat equation
• Betti numbers on a tower of coverings
• Approximating \(L^ 2\)-invariants by their finite-dimensional analogues
• On the density of geometrically finite Kleinian groups.
• Negatively oriented ideal triangulations and a proof of Thurston's hyperbolic Dehn filling theorem
• Automorphic forms and rational homology 3-spheres
• Pro-\(p\) groups and towers of rational homology spheres
• Heegaard splittings and pseudo-Anosov maps
• Bounded combinatorics and uniform models for hyperbolic 3-manifolds
• Geometric limits of knot complements
• ON THE TORSION HOMOLOGY OF NON-ARITHMETIC HYPERBOLIC TETRAHEDRAL GROUPS
• Criteria for virtual fibering
• Simple quotients of hyperbolic 3-manifold groups
• Renormalization and 3-Manifolds Which Fiber over the Circle
• On the Integral Cohomology of Bianchi Groups
• The asymptotic growth of torsion homology for arithmetic groups
• Bounded geometry for Kleinian groups.

This page was built for publication: Injectivity radii of hyperbolic integer homology 3-spheres