2004/10/13 by J. O. Button, Button, J. O.
Computer Science · Mathematics · #57N10 #FOS: Mathematics #Geometric Topology (math.GT) #Image Processing and 3D Reconstruction #math.GT #msc:57N10
paper · pdf · doi:10.48550/arxiv.math/0410321
50 pages, including 2 figures and 14 pages of tables
openalex publication_date 2004/10/13 · arxiv created 2004/10/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Following on from work of Dunfield, we determine the fibred status of all the unknown hyperbolic 3-manifolds in the cusped census. We then find all the fibred hyperbolic 3-manifolds in the closed census and use this to find over 100 examples each of closed and cusped virtually fibred non-fibred census 3-manifolds, including the Weeks manifold. We also show that the co-rank of the fundamental group of every 3-manifold in the cusped and in the closed census is 0 or 1.