On the profinite distinguishability of hyperbolic Dehn fillings of finite-volume 3-manifolds

DOI10.2140/agt.2024.24.4779MaRDI QIDQ6661608

Paul Rapoport

Publication date: 13 January 2025

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

zbMATH Keywords

fillingrigiditygeometric group theoryprofinitenon-HakenDehn

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Properties of classes of models (03C52) Basic properties of first-order languages and structures (03C07)

Cites Work

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• The virtual Haken conjecture (with an appendix by Ian Agol, Daniel Groves and Jason Manning).
• Distinguishing geometries using finite quotients
• Ubiquitous quasi-Fuchsian surfaces in cusped hyperbolic 3-manifolds
• Varieties of group representations and splittings of 3-manifolds
• Research announcement: The structure of groups with a quasiconvex hierarchy.
• On the boundary curves of incompressible surfaces
• Lectures on hyperbolic geometry
• Non-Haken 3-manifolds are not large with respect to mappings of non-zero degree
• Integral points on character varieties
• Absolute profinite rigidity and hyperbolic geometry
• Lefschetz's principle
• The elementary theory of finite fields
• Finite-volume hyperbolic 3-manifolds are almost determined by their finite quotient groups
• Profinite properties of discrete groups
• Random Heegaard splittings
• Comments on Lefschetz's Principle
• A Unique Decomposition Theorem for 3-Manifolds
• Three dimensional manifolds, Kleinian groups and hyperbolic geometry
• Model Theoretic Algebra
• Mixed 3-manifolds are virtually special
• PROFINITE RIGIDITY
• Profinite detection of 3-manifold decompositions
• Profinite Groups

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