Bulletin of the Korean Mathematical Society (대한수학회보)

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KNOTS WITH ARBITRARILY HIGH DISTANCE BRIDGE DECOMPOSITIONS

  • Ichihara, Kazuhiro (Department of Mathematics College of Humanities and Sciences Nihon University) ;
  • Saito, Toshio (Department of Mathematics Joetsu University of Education)
  • Received : 2012.09.02
  • Published : 2013.11.30
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Abstract

We show that for any given closed orientable 3-manifold M with a Heegaard surface of genus g, any positive integers b and n, there exists a knot K in M which admits a (g, b)-bridge splitting of distance greater than n with respect to the Heegaard surface except for (g, b) = (0, 1), (0, 2).

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References

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