FREE GENUS ONE KNOTS DO NOT ADMIT ESSENTIAL TANGLE DECOMPOSITIONS

HIROSHI MATSUDA, MAKOTO OZAWA
1998 Journal of knot theory and its ramifications  
In this paper, we show that free genus one knots do not admit essential tangle decompositions.
doi:10.1142/s0218216598000504 fatcat:j7ldv3xpxne4zl5vlatnl33dtu