8 citations · 16 across the 8 of their papers we have counts for
8 papers
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…
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…
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…
Stable twisted cohomology of the mapping class groups in the unit tangent bundle homology
Nariya Kawazumi, Arthur Soulié
We compute the stable cohomology groups of the mapping class groups of compact orientable surfaces with one boundary, with twisted coefficients given by the homology of the unit ta…
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…
When the lower central series stops: a comprehensive study for braid groups and their relatives
Jacques Darné, Martin Palmer, Arthur Soulié
Understanding the lower central series of a group is, in general, a difficult task. It is, however, a rewarding one: computing the lower central series and the associated Lie algeb…
The Burau representations of loop braid groups
Martin Palmer, Arthur Soulié
We give a simple topological construction of the Burau representations of the loop braid groups. There are four versions: defined either on the non-extended or extended loop braid…
Topological representations of motion groups and mapping class groups -- a unified functorial construction
Martin Palmer, Arthur Soulié
For groups of a topological origin, such as braid groups and mapping class groups, an important source of interesting and highly non-trivial representations is given by their actio…