NON-TRIVIALITY OF GENERALIZED ALTERNATING KNOTS

MAKOTO OZAWA
2006 Journal of knot theory and its ramifications  
In this article, we consider alternating knots on a closed surface in the 3-sphere, and show that these are not parallel to any closed surface disjoint from the prescribed one.
doi:10.1142/s0218216506004506 fatcat:6zmugkghwvbund7ynq4ofhcwky