A criterion for almost alternating links to be non-splittable

Details A criterion for almost alternating links to be non-splittable A criterion for almost alternating links to be non-splittable

1999-05-27

arxiv.org/abs/math/9905172v1

Mathematics

Geometric Topology

31 pages, 27 figures

Scientific paper

We give a sufficient condition for an almost alternating link diagram to
represent a non-splittable link. The main theorem gives us a way to see if a
given almost alternating link diagram represents a splittable link without
increasing numbers of crossings of diagrams in the process. Moreover, we show
that almost alternating links with more than two components are non-trivial.

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