A note on closed 3-braid knot shadows.

A knot shadow is a diagram without over/ under information at all crossings. Many knot types are obtained from a knot shadow by assigning over/ under information to each crossing. The purpose of the paper is to observe numbers of knot types obtained from closed 3-braid knot shadows. As a result, we discover that given an arbitary odd integer n ≥ 3 , there exists a closed 3-braid knot shadow S such that the number of T (m , 2) (3 ≤ m ≤ n) torus knots is more than that of trivial knots in the knots obtained from S by assigning over/ under information to each crossing. [ABSTRACT FROM AUTHOR]