In most Chinese sword forms, the sword is held in the left hand and the right hand is held in a position (剑指 in Chinese, not sure if an englishEnglish translation exists) that looks like this:
I have found that the right hand movements are just as, if not more complicated than the left hand. I understand that this is mainly for stability but is that really all there is to it? The movements seem too complicated for stability to be the only purpose.