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math.GT2026
Large flats in large subgraphs of fine curve graphs
Ryan Dickmann, Roberta Shapiro
The fine curve graph of a surface is a graph whose vertices are essential simple closed curves and whose edges connect disjoint curves. Following a rich history of hyperbolicity of…
math.GT2019★ 1 cited
Automorphisms of the k-curve graph
Shuchi Agrawal, Tarik Aougab, Yassin Chandran +4
Given a natural number k and an orientable surface S of finite type, define the k-curve graph to be the graph with vertices corresponding to isotopy classes of essential simple clo…