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math.RT2024
Some remarks about the faithfulness of the Burau representation of Artin--Tits groups
Asilata Bapat, Hoel Queffelec
We discuss the extension of the faithfulness question for the Burau representation of braid groups to the case of Artin--Tits groups. We prove that the Burau representation is not…
math.GT2024
Reidemeister's theorem using transversality
Hoel Queffelec
We recover Reidemeister's theorem using smooth functions and transversality.
math.RT2024
Khovanov-Seidel braid representation
Hoel Queffelec
These are lecture notes from a lecture series given at CIRM in the Fall 2023. They give a down-to-earth introduction to Khovanov and Seidel's categorical representation of Artin-Ti…