Thin position for a connected sum of small knots

Details Thin position for a connected sum of small knots Thin position for a connected sum of small knots

2002-05-12

arxiv.org/abs/math/0205125v1

Algebr. Geom. Topol. 2 (2002) 297-309

Mathematics

Geometric Topology

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol2/agt-2-14.abs.html

Scientific paper

We show that every thin position for a connected sum of small knots is
obtained in an obvious way: place each summand in thin position so that no two
summands intersect the same level surface, then connect the lowest minimum of
each summand to the highest maximum of the adjacent summand below.

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