First things first.
Macromolecular structures are more than a single atom in thickness. Even a single walled carbon nanotube is much more than one carbon atom in thickness. It is a tube, formed of roughly hexagonally oriented networks of carbon atoms, thirty or forty atoms thick, not counting the center of the tube, which can be much larger still.
The edge of a razor blade is not “a few atoms” thick, except here and there where the irregularities of crystalline alignment allow it by sheer chance. Mostly, it is thousands to millions of atoms thick.
Other things next.
The monofilament, as a weapon is generally dependent upon the strength of the filament, as well as its thinness. The Niven stories of “Sinclair Monofilament” used as weapons depend on it being fixed at the ends to relatively rigid objects. In the cases where it is only fixed at one end, it has to have a driving force, such as a vibration, imparted by a power source. The exception to this is the Variable Knife, in the Known Universe stories, but the infamous Slaver Stasis field holds that one absolutely rigid. All of these devices depend on a level of tensile strength orders of magnitude higher than the strong nuclear force. As of this time, those are comfortably fictional.
Now, the E string on an ordinary guitar is easily “sharp” enough to inflict a cut, perhaps even a serious one, if used as a whip. Not much when compared to a short sword, of course, but much easier to smuggle into a secure environment. Fix both ends to a handle, and even this fairly old technology becomes a very effective weapon, called a garrote.
An E string is a whole lot more than a few hundred atoms wide. A bundle of fifty double walled carbon nanotubes would be much smaller in diameter, and perhaps a whole lot stronger. Now you have a garrote that cuts like a razor. String it out to a few yards, and you can stretch it across your favorite do not enter door, and you have a basically invisible knife, that would easily cut through a human sized object unless the human was wearing very good armor. Clamp it to a handle, with a nice platinum ball at the other end, and you have a swung weapon that cuts like a razor, except at the end.
On and on, you can reinvent the bolo, and its cousins, and in the end, you have something basically more cumbersome, and slightly less effective than a katana, and probably more difficult to learn to use. But a guy with M1911a is still gonna kill you. Aside from smuggling, the wire as a weapon has very few definitive advantages.
Tris
“Our friend brings us good news. If the Persians darken the sun with their arrows, we will be able to fight in the shade.” ~ Dieneces of Sparta ~