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math.GT2026
Automorphisms of profinite mapping class groups
Marco Boggi
For a closed orientable differentiable surface of genus from which points have been removed, such that , let be the pure mappi…
math.GT2026
A congruence subgroup property for symmetric mapping class groups
Marco Boggi
We prove the congruence subgroup property for the centralizer of a finite subgroup in the mapping class group of a hyperbolic oriented and connected surface of finite topologic…
math.GT2026
Automorphisms of the procongruence pants complex
Marco Boggi, Louis Funar
We show that every automorphism of the congruence completion of the extended mapping class group that preserves the set of conjugacy classes of procyclic groups generated by Dehn t…
math.GT2025
A generating set for the Johnson kernel
Marco Boggi
For a connected orientable hyperbolic surface without boundary and of finite topological type, the Johnson kernel is the subgroup of the mapping class group o…