Tightness and computing distances in the curve complex

  title={Tightness and computing distances in the curve complex},
  author={Kenneth J. Shackleton},
  journal={Geometriae Dedicata},
  • Kenneth J. Shackleton
  • Published 2004
  • Mathematics, Materials Science
  • Geometriae Dedicata
  • We address the lack of local-finiteness in Harvey’s curve complex by computational means, computing bounds on certain intersection numbers among curves lying on a natural family of geodesics. We give a finite time algorithm for constructing all of these geodesics between any two curves, and treat stable lengths.