1999/05/27 by Tatsuya Tsukamoto, Tsukamoto, Tatsuya
Mathematics · #57M15 #57M25 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:57M15 #msc:57M25
paper · pdf · doi:10.48550/arxiv.math/9905172
31 pages, 27 figures
arxiv created 1999/05/27 · arxiv updated 2009/11/30
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.