3 papers
math.GT2026
Fundamental Quandles Do Not Determine the First Postnikov Invariant of 2-Knots
Michal Jablonowski
For every admissible pair of Brieskorn parameters in the Plotnick--Suciu construction, we obtain a pair of oriented -knots whose knot groups are isomorphic, whose second homotop…
math.GT2026
Unity of Jones polynomials in the unit circle and the plane
Michal Jablonowski
In this note, we study solutions of the equation for the Jones polynomial of knots and links. For the family of double-twist knots, we show that every root of unit…
math.GT2025
On biquandle-based invariant of immersed surface-links, Yoshikawa oriented fifth move, and ribbon 2-knots
Michal Jablonowski
We resolve an open problem by showing that the Yoshikawa's fifth oriented move in his list cannot be reproduced by any finite sequence of the other nine moves and planar isotopies.…