GLOBAL MUTATION OF KNOTS
Dale Rolfsen · Journal of Knot Theory and Its Ramifications · 1994
We discuss new methods of changing knot and link diagrams in such a way that their Jones polynomial is unaltered. It is similar to Conway's mutation, but applies to more complicated "tangles," and is performed simultaneously at multiple sites in the diagram — thus "global mutation." The method of achieving this can be regarded as communication via "messenger tangles."