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http://dx.doi.org/10.4134/BKMS.2013.50.6.1989

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)
Publication Information
Bulletin of the Korean Mathematical Society / v.50, no.6, 2013 , pp. 1989-2000 More about this Journal
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).
Keywords
knot; Heegaard splitting; bridge decomposition; distance;
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