COLORINGS OF TORUS KNOTS AND THEIR TWIST-SPUNS BY ALEXANDER QUANDLES OVER FINITE FIELDS

摘要

Colorings of torus knots and twist-spun torus knots by general Alexander quandles over finite fields are explicitly determined. It is then observed that, for some standard Mochizuki's cocycles, a large class of twist-spun torus knots with non-trivial colorings have trivial CJKLS state-sum invariants.