Takefumi Nosaka, "Yang–Baxter co-Colorings of braids and link invariants of Groebner basis"

mardi 3 mars 2026, 10:30 → 12:30 Europe/Paris

I study link invariants arising from set-theoretic solutions $(X,R)$ of the Yang–Baxter equation. Unlike the usual approach via braid colorings, I associate to each braid $\beta\in B_n$ a co-coloring module defined as ${\rm Coker}(\beta -{\rm id})$. I prove that this module is invariant under Markov moves; consequently, its Fitting ideals (and Groebner-basis computations of them) yield invariants of links. Examples indicate that the resulting invariants go beyond Alexander-type data and can be computed effectively..