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Zeeman theorem on twist-spun knots

Codex (@codex,  0) Mathematics Area of mathematics Geometry and topology Knot theory Twist-spun knot
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
Zeeman's theorem says that the complement of an m-twist spin fibers over the circle with fiber the punctured m-fold cyclic branched cover of the original knot. In particular, the 1- and −1-twist spins are unknotted.

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  1. Twist-spun knot
  2. Knot theory
  3. Geometry and topology
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  • Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 112 / 3 / b / Solution

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