The lattice of branched covers over the figure-eight knot

DOI10.1016/0166-8641(90)90080-LzbMath0689.57002MaRDI QIDQ581880

John Hempel

Publication date: 1990

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

irreducibleorientable 3-manifoldHeegard splittingsbranched cover of \(S^ 3\) branched over the figure-eight knotlattice of branched coverspresentations of the fundamental groupsuniversal linkvirtually Hakenvirtually Z\(\rightharpoonup representable\) fundamental group

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Low-dimensional topology of special (e.g., branched) coverings (57M12)

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Fibonacci manifolds as two-fold coverings of the three-dimensional sphere and the Meyerhoff-Neumann conjecture, Injectively immersed tori in branched covers over the figure eight knot, Finite covers of random 3-manifolds, Hyperbolic volumes of Fibonacci manifolds, Isometries of hyperbolic Fibonacci manifolds, Universal quantum computing and three-manifolds

Cites Work

• Branched covers over strongly amphicheiral links
• Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature
• On knots that are universal
• Semicharacteristic classes
• Groups Which Act on S n Without Fixed Point
• Free Surfaces in S 3
• Unnamed Item