Math 2.0

Manifolds and cell complexes Knot theory Concept

Slice knot

Summary

A slice knot is a knot in the 33-sphere that bounds a smoothly embedded disk in the 44-ball. The notion links knot theory with the topology of 4-manifolds. Slice knots are exactly the knots concordant to the unknot, and they form the zero element of the knot concordance group. There is also a topological version, with locally flat disks, and the two versions differ.

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2 pages build on this one.

Further reading

  1. Web https://en.wikipedia.org/wiki/Slice_knot
About this page
TagP68G28E4AD
URIm2://P68G28E4AD
Kindconcept
WritingW0 stub
MSC57K10, 57K40
SpecializesKnot
Same as
Changed2 November 2026

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