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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
Kauffman bracket skein homology from Heegaard splittings
Yin Tian, Xiao Wang
We extend the Kauffman bracket skein module of three manifolds to a homology theory in a combinatorial way. The resulting homology depends on Heegaard splittings of three manifolds…