The Complex of Curves on Non-Orientable Surfaces

DOI10.1112/jlms/s2-25.1.171zbMath0479.57005OpenAlexW2158829444MaRDI QIDQ3938231

Martin G. Scharlemann

Publication date: 1982

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-25.1.171

zbMATH Keywords

1-sided simple closed curvescurves on non-orientable surfacesprojectivized measured foliations with all leaves compactprojectivized space of measured foliations on a compact surface with negative Euler characteristic

Mathematics Subject Classification ID

Related Items (26)

The hyperelliptic mapping class group of a nonorientable surface of genus \(g\geq 4\) has a faithful representation into \(\operatorname{GL}(g^2 - 1, \mathbb{R})\) ⋮ Measured lamination spaces for surfaces, from the topological viewpoint ⋮ Incompressible solvable representations of surface groups ⋮ Measured foliations on nonorientable surfaces ⋮ Finite rigid sets in curve complexes of nonorientable surfaces ⋮ Algebraic degrees of pseudo-Anosov stretch factors ⋮ Ford domains of Fuchsian once-punctured Klein bottle groups ⋮ Mapping class group orbit closures for non-orientable surfaces ⋮ Convex-compact subgroups of the Goeritz group ⋮ Roots of crosscap slides and crosscap transpositions ⋮ On simplicial maps of the complexes of curves of nonorientable surfaces ⋮ Polyhedral realization of a Thurston compactification ⋮ Stable norms of non-orientable surfaces ⋮ Superinjective simplicial maps of the two-sided curve complexes on nonorientable surfaces ⋮ Handlebody subgroups in a mapping class group ⋮ Injective homomorphisms of mapping class groups of non-orientable surfaces ⋮ Unnamed Item ⋮ Simple geodesics and Markoff quads ⋮ Incompressible surfaces in punctured Klein bottle bundles ⋮ The geometry of the disk complex ⋮ Automorphisms of curve complexes on nonorientable surfaces ⋮ A note on the curve complex of the 3-holed projective plane ⋮ On the character variety of the three–holed projective plane ⋮ Injective simplicial maps of the complex of arcs on nonorientable surfaces ⋮ On type-preserving representations of thrice punctured projective plane group ⋮ Exhausting curve complexes by finite superrigid sets on nonorientable surfaces

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