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Mathematical Object

Conway knot

Topology

In knot theory, the Conway knot is a specific knot with eleven crossings, named after John Horton Conway. It shares the same Jones polynomial, Alexander polynomial, and Conway polynomial as the unknot, a property it shares with the related Kinoshita-Terasaka knot, to which it is connected through a mutation operation. The Conway knot is hyperbolic, prime, chiral, and topologically slice. The long open question of whether it is also smoothly slice was resolved in 2020 by Lisa Piccirillo, fifty years after Conway first proposed the knot, when she showed that it is not smoothly slice, distinguishing it from its mutant relative. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

Facts
Classification
Object Kind
Geometric Object 1
Connections

Attributed To

Source Conway knot (Wikipedia)

In Branch

Source Conway knot (Wikipedia)

Is Kind Of Object

Entity-backed identity for the object-kind enum value this mathematical object already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The object-kind fact itself stays on the object unchanged.

Sources
1. Conway knot (Wikipedia)
  • In Branch: Knot Theory, Lead sentence
    In mathematics, specifically in knot theory, the Conway knot (or Conway's knot) is a particular knot with 11 crossings, named afte
  • Attributed To: John Conway, Lead paragraph
    50 years after Conway first proposed the knot
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