Not to nitpick, but...
Contrary to popular misconception, the European-style two-handed longsword is on average no heavier than the katana, and requires no less finesse to handle effectively. Both generally weigh between 2 and 4 pounds.
The longsword actually is usually thinner in the blade than the katana and tapers heavily in thickness towards the point, while the katana is thicker throughout the whole blade. The longsword is generally longer, though, and the weight evens out there.
Many actual, historical longswords are very fine on the last third of the blade, towards the point - often the last third of the blade is a third of thickness of the blade at the crossguard. Modern and Victorian reproductions often miss this subtle detail, though, which I suppose is where the idea of the thick and clunky European sword comes from.
