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math.CO2026
Squarefree Matrix Formulas for the CWR Invariant of Alternating Knots and Links
Michal Jablonowski
We give weighted-matrix formulas for the components of the invariant of oriented non-split alternating links. After recalling the known trace formulas for and $CWR_…
math.GT2026
Integer Knot Invariants: Inequalities, Computations, and Open Problems
Michal Jablonowski
We study how inequalities among integer knot invariants combine to yield new exact values and sharper constraints. A directed network of forty-seven established inequalities among…
math.GT2026
A resistance invariant of special alternating links
Michal Jablonowski
We introduce a Laplacian trace invariant for special, reduced, alternating diagrams of oriented knots and links and show that it is determined by two consecutive coefficients at an…