Locally unknotted spines of Heegaard splittings

Details Locally unknotted spines of Heegaard splittings Locally unknotted spines of Heegaard splittings

2004-11-03

arxiv.org/abs/math/0411065v3

Algebr. Geom. Topol. 5 (2005) 1573-1584

Mathematics

Geometric Topology

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-63.abs.html

Scientific paper

We show that under reasonable conditions, the spines of the handlebodies of a
strongly irreducible Heegaard splitting will intersect a closed ball in a graph
which is isotopic into the boundary of the ball. This is in some sense a
generalization of the results by Scharlemann on how a strongly irreducible
Heegaard splitting surface can intersect a ball.

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