Recognition of being fibered for compact 3–manifolds
Andrei Jaikin‐Zapirain
Abstract
Let [math] be a compact orientable aspherical [math] –manifold. We show that if the profinite completion of [math] is isomorphic to the profinite completion of a free-by-cyclic group or to the profinite completion of a surface-by-cyclic group, then [math] fibers over the circle with compact fiber.
Topics & Concepts
Fibered knotMathematicsPure mathematicsMathematical analysisGeometric and Algebraic TopologyAdvanced Operator Algebra ResearchHomotopy and Cohomology in Algebraic Topology