The Cutting weaves are a kind of weave in the One Power used in a duel among channellers to cut and so dispel the forming weaves of an adversary. It is woven differently by women and men. Women's weaves are composed of threads of Fire and Air and in some cases the threads of fire can be reinforced by Earth. For men the weave is composed of spirit, fire and earth.
Hessalam during the battle in Thakan'dar Valley showed a great ability in cutting down the attacks of her opponents.
Another example is when Rand al'Thor used this weaves to cut off the weaves that Lanfear was using to cause Egwene and Aviendha agony in Cairhien.