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math.GT2026
Twisted homological stability for handlebody mapping class groups
Erik Lindell, Arthur Soulié
We prove twisted homological stability for handlebody mapping class groups. Using the categorical framework developed by Randal-Williams and Wahl, we establish that the homology of…
math.GT2025
The pro-nilpotent Lawrence-Krammer-Bigelow representation
Martin Palmer, Arthur Soulié
We construct a 3-variable enrichment of the Lawrence-Krammer-Bigelow (LKB) representation of the braid groups, which is the limit of a pro-nilpotent tower of representations having…
math.GT2024
Polynomiality of surface braid and mapping class group representations
Martin Palmer, Arthur Soulié
We study a wide range of homologically-defined representations of surface braid groups and of mapping class groups of surfaces, including the Lawrence-Bigelow representations of th…