8 citations · 8 across the 5 of their papers we have counts for
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A geometric property of closed geodesics on hyperbolic surfaces
Max Neumann-Coto, Peter Scott
We study closed geodesics on hyperbolic surfaces, and give bounds for their angles of intersection and self-intersection, and for the sides of the polygons that they form, dependin…
Measuring complexity of curves on surfaces
Max Neumann-Coto, Macarena Covadonga Robles Arenas
We consider the relations between different measures of complexity for free homotopy classes of curves on a surface , including the minimum number of self-intersections, the min…
Cones and convex bodies with modular face lattices
D. Labardini-Fragoso, M. Neumann-Coto, M. Takane
If a convex body C has modular and irreducible face lattice (and is not strictly convex), there is a face-preserving homeomorphism from C to a section of a cone of hermitian matric…
Acylindrical surfaces in 3-manifolds and knot complements
Mario Eudave-Munoz, Max Neumann-Coto
We consider closed acylindrical surfaces in 3-manifolds and in knot and link complements, and show that the genus of these surfaces is bounded linearly by the number of tetrahedra…
A characterization of shortest geodesics on surfaces
Max Neumann-Coto
Any finite configuration of curves with minimal intersections on a surface is a configuration of shortest geodesics for some Riemannian metric on the surface. The metric can be cho…