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math.GT2026
A polynomial invariant of planar curves
Zhiyun Cheng, Yin Tian, Tianyu Yuan
We construct a polynomial invariant of planar curves via skein relations, which generalizes Arnold's numerical invariant .
math.GT2026
Trapezoidality of flat arrangement polynomials
Yuan Gao, Tianyu Yuan
Fox's conjecture predicts that the absolute values of the coefficients of the Alexander polynomial of an alternating link form a trapezoidal sequence. Kálmán, Mészáros, and Postnik…