Recognition of being fibered for compact 3-manifolds

DOI10.2140/gt.2020.24.409zbMath1455.57024OpenAlexW3014816377MaRDI QIDQ2177707

Andrei Jaikin-Zapirain

Publication date: 6 May 2020

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

Full work available at URL: https://doi.org/10.2140/gt.2020.24.409

zbMATH Keywords

fibered 3-manifoldcohomological goodnessprofinite rigidity

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Fundamental group, presentations, free differential calculus (57M05) Limits, profinite groups (20E18) General topology of 3-manifolds (57K30)

Related Items (5)

Profinite rigidity for twisted Alexander polynomials ⋮ Distinguishing 4-dimensional geometries via profinite completions ⋮ Mapping classes are almost determined by their finite quotient actions ⋮ Finite-volume hyperbolic 3-manifolds are almost determined by their finite quotient groups ⋮ Profinite rigidity of graph manifolds. II: Knots and mapping classes

Cites Work

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• Normal subgroups of profinite groups of non-negative deficiency.
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• Groups with the same cohomology as their profinite completions.
• Research announcement: The structure of groups with a quasiconvex hierarchy.
• 3-manifold groups
• Separability of embedded surfaces in 3-manifolds
• Criteria for virtual fibering
• Profinite rigidity and surface bundles over the circle
• Profinite and pro-𝑝 completions of Poincaré duality groups of dimension 3
• L2-Betti Numbers and their Analogues in Positive Characteristic

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