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math.GT2026
A survey on mapping class groups of 3-manifolds
Philipp Bader, Rachael Boyd, Giulia Carfora +8
We survey computations and tools concerning the mapping class group of a compact, oriented, connected 3-manifold . We provide a guide to the literature and sketch proofs for var…
math.GT2025
Comparing Teichmüller and curve graph translation lengths
Philipp Bader
A pseudo-Anosov mapping class acts on Teichmüller space as well as on the curve graph with so called north-south dynamics. We can measure a stable trans…
math.GT2023
Prym Representations of the Handlebody Group
Philipp Bader
Let be an oriented, closed surface of genus The mapping class group of is the group of orientation preserving homeomorphisms of modulo isotopy. In 1997, Looijenga…