2025 - T2 - WS2 - Low-dimensional phenomena: geometry and dynamics

Collection 2025 - T2 - WS2 - Low-dimensional phenomena: geometry and dynamics

Organizer(s) Bromberg, Kenneth ; Haïssinsky, Peter ; Hamenstädt, Ursula ; Maloni, Sara ; Sambarino, Andrés ; Schapira, Barbara
Date(s) 23/06/2025 - 27/06/2025
linked URL https://indico.math.cnrs.fr/event/11570/
16 17

Global topology of the space of d-pleated surfaces

By Tengren Zhang

The notion of a d-pleated surface is a higher rank generalization of (abstract) pleated surfaces in three dimensional hyperbolic space. We give a description of the global topology of the space of conjugacy classes of $d$-pleated surfaces. We also prove that every connected component of the character variety contains exactly one connected component of the space of $d$-pleated surfaces. This is joint work with Sara Maloni, Giuseppe Martone, and Filippo Mazzoli.

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