MathDBPrzytycki's 4-move conjecture
Przytycki's 4-move conjecture
A knot is an embedded circle in -space. Two knots are 4-equivalent if they are related by isotopy and local 4-moves.
Przytycki's 4-move conjecture. Any knot is 4-equivalent to the unknot.
The source presents this as Przytycki's conjecture and proves it for weak genus two knots using arguments analogous to those for the 3-move conjecture. The supplied text does not establish a resolution of the general conjecture.
Sources & referencesView supporting material
Primary source
A. Stoimenow, “Knots of genus two”, arXiv:math/0303012 (2003).
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