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math.GT2026
Homotopy types of fine curve and fine arc complexes
Ryan Dickmann, Zachary Himes, Alexander Nolte +1
The fine curve complex of a surface is a simplicial complex whose vertices are essential simple closed curves and whose -simplices are collections of disjoint curves. We p…
math.GT2026
Graphs of Quasicircles and Quasiconformal Homeomorphisms
Katherine Williams Booth, Alexander Nolte, Yvon Verberne
We give a combinatorial characterization of the group of quasiconformal homeomorphisms of a closed, oriented surface of genus at least . In particular, we prove they are exa…