can you really use carbon nano-tubes as a garrote?
In short, yes. At least I think so.
The idea was that a thin spider silk thread was looped around the relevant appendages, then transfigured into a thread of carbon nanotubes of equal thickness to the spider silk. Then, tension was applied to the whole loop, which pulled it through the appendage it was around. With sufficient tension, a thin filament with high tensile strength would definitely cut through flesh and bone. Just how much tension is required, I don't know, but based on the fact that it worked, I'd say it was sufficient.