Torus bundles not distinguished by TQFT invariants. With an appendix by Louis Funar and Andrei Rapinchuk

DOI10.2140/gt.2013.17.2289zbMath1278.57020arXiv1101.0509OpenAlexW3106291025MaRDI QIDQ364211

Luois Funar

Publication date: 6 September 2013

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

Full work available at URL: https://arxiv.org/abs/1101.0509

zbMATH Keywords

congruence subgroupmapping class groupPell equationsTQFTprofinite groupsconjugacy problemcommensurable groupsmodular tensor categoryReshetikhin-Turaev invariantsTuraev-Viro invariantscongruent manifoldsMOO invariantSL\((2, \mathbb Z)\)SOL manifoldstorus bundle

Mathematics Subject Classification ID

Related Items (16)

Determining Fuchsian groups by their finite quotients ⋮ Distinguishing 4-dimensional geometries via profinite completions ⋮ The profinite completions of knot groups determine the Alexander polynomials ⋮ Mapping classes are almost determined by their finite quotient actions ⋮ Orbit equivalences of \(\mathbb{R}\)-covered Anosov flows and hyperbolic-like actions on the line. With an appendix written jointly with Jonathan Bowden ⋮ Finite-volume hyperbolic 3-manifolds are almost determined by their finite quotient groups ⋮ Absolute profinite rigidity and hyperbolic geometry ⋮ Arbitrarily large Galois orbits of non-homeomorphic surfaces ⋮ 3d-3d correspondence for mapping tori ⋮ Profinite rigidity for Seifert fibre spaces ⋮ Profinite detection of 3-manifold decompositions ⋮ Profinite completions, cohomology and JSJ decompositions of compact 3-manifolds ⋮ A Survey of the Impact of Thurston’s Work on Knot Theory ⋮ Profinite genus of fundamental groups of torus bundles ⋮ Profinite rigidity, Kleinian groups, and the cofinite Hopf property ⋮ Around 3-manifold groups

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