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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..

https://indico.math.cnrs.fr/event/15630/

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wpea_event_timezone:
UTC
wpea_event_link:
https://indico.math.cnrs.fr/event/15630/
wpea_event_timezone_name:
UTC
wpea_event_id:
indico-vnt-15630@indico.math.cnrs.fr
wpea_event_origin:
ical

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