1 citations · 3 across the 9 of their papers we have counts for
Showing math.GTShow all
3 papers · 1 filter
math.GT2024
Taut smoothings of arcs and curves
Macarena Arenas, Max Neumann-Coto
We study the geometric and combinatorial effect of smoothing an intersection point in a collection of arcs or curves on a surface. We prove that all taut arcs with fixed endpoints…
math.GT2022
Linear isoperimetric functions for surfaces in hyperbolic groups
Macarena Arenas, Daniel T. Wise
We show that word-hyperbolic groups satisfy linear isoperimetric functions for all homotopy types of surface diagrams. This generalises the linear isoperimetric functions for disc…
math.GT2017
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…