Complexity , Heegaard diagrams and generalized Dunwoody manifolds ∗

  title={Complexity , Heegaard diagrams and generalized Dunwoody manifolds ∗},
  author={Alessia Cattabriga Michele Mulazzani Andrei Vesnin},
  • Alessia Cattabriga Michele Mulazzani Andrei Vesnin
  • Published 2008
We deal with Matveev complexity of compact orientable 3manifolds represented via Heegaard diagrams. This lead us to the definition of modified Heegaard complexity of Heegaard diagrams and of manifolds. We define a class of manifolds which are generalizations of Dunwoody manifolds, including cyclic branched coverings of two-bridge knots and links, torus knots, some pretzel knots, and some theta-graphs. Using modified Heegaard complexity, we obtain upper bounds for their Matveev complexity, which… CONTINUE READING
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