3 papers
math.GT2025
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.AC2023
Stable twisted cohomology of the mapping class groups in the exterior powers of the unit tangent bundle homology
Nariya Kawazumi, Arthur Soulié
We study the stable cohomology groups of the mapping class groups of surfaces with twisted coefficients given by the exterior powers of the first rational homology of the…
math.GT2023
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…