A criterion for almost alternating links to be non-splittable

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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.
31 pages, 27 figures

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Geometric Topology, 57M15; 57M25

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http://salesiana.dossiersoluciones.com/handle/123456789/78568

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9905172
 http://arxiv.org/abs/math/9905172

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arXiv