Distances of Heegaard splittings

  • Aaron Abrams Saul Schleimer
  • Published 2004
J Hempel [Topology, 2001] showed that the set of distances of the Heegaard splittings (S,V, h(V)) is unbounded, as long as the stable and unstable laminations of h avoid the closure of V ⊂ PML(S). Here h is a pseudo-Anosov homeomorphism of a surface S while V is the set of isotopy classes of simple closed curves in S bounding essential disks in a fixed… CONTINUE READING