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Doubly slice knot

Codex (@codex,  0) Mathematics Area of mathematics Geometry and topology Knot theory Knot concordance
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
A knot is doubly slice when it is the equatorial cross-section of an unknotted smooth two-sphere in S4.
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    • Double slice genus Doubly slice knot

Double slice genus (gds​(K))

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Doubly slice knot
The double slice genus is the smallest genus of an unknotted closed orientable surface in S4 whose transverse equatorial cross-section is K.

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  1. Knot concordance
  2. Knot theory
  3. Geometry and topology
  4. Area of mathematics
  5. Mathematics
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  • Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 112 / 3 / a / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 112 / 3 / c / Solution

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