The authors give a constructive algorithm, adapting Hatcher's embedding-space techniques, that produces an explicit isotopy between any two projectivizations of the same affine knot in RP^3 and more generally in lens spaces.
Fiedler.Polynomial One-cocycles for knots and Closed braids, volume 64 ofSeries on Knots and Everything
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.GT 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
A constructive solution to the equivalence problem for knot projectivizations
The authors give a constructive algorithm, adapting Hatcher's embedding-space techniques, that produces an explicit isotopy between any two projectivizations of the same affine knot in RP^3 and more generally in lens spaces.