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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★ 1 cited
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…