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math.RT2025
A sphere of spherical objects
Asilata Bapat, Anand Deopurkar, Anthony M. Licata
Given a Bridgeland stability condition on a 2-Calabi--Yau category, we define a simplicial complex that encodes the Harder--Narasimhan filtrations of spherical objects. For 2-Calab…
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…