Takefumi Nosaka, « Yang–Baxter co-Colorings of braids and link invariants of Groebner basis »
3 mars 2026 à 10:30 --> 12:30
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 $betain B_n$ 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..
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- UTC
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- https://indico.math.cnrs.fr/event/15630/
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- UTC
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- indico-vnt-15630@indico.math.cnrs.fr
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- ical
