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  • Print publication year: 2019
  • Online publication date: June 2019

10 - Uniform quasiconvexity of the disc graphs in the curve graphs

from Part Three - Research Articles


We give a proof that there exists a universal constant K such that the disc graph associated to a surface S forming a boundary component of a compact, orientable 3-manifold M is K-quasiconvex in the curve graph of S. Our proof does not require the use of train tracks.