An EZ-structure for the mapping class group

2025/05/24 by Hamenstädt, Ursula · 2 citations
#20F65 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2505.18808

Abstract

We construct a boundary for the mapping class group Mod(S) of a surface S of finite type. The action of Mod(S) on this boundary is minimal, strongly proximal and topologically free. The boundary is the boundary of an EZ-structure for Mod(S).

Cited by

• An extreme boundary of acylindrically hyperbolic groups
• On the connectedness of the boundary of hierarchically hyperbolic spaces

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