Heegaard splittings of exteriors of, two bridge knots

Details Heegaard splittings of exteriors of, two bridge knots Heegaard splittings of exteriors of, two bridge knots

2001-01-18

arxiv.org/abs/math/0101148v2

Geom. Topol. 5(2001) 609-650

Mathematics

Geometric Topology

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol5/paper20.abs.html

Scientific paper

In this paper, we show that, for each non-trivial two bridge knot K and for
each g > 2, every genus g Heegaard splitting of the exterior E(K) of K is
reducible.

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