Any part of an outfit that floats independently from the rest of the clothing. Done almost entirely for Rule of Cool, as there is little practical purpose for this. Sometimes this is justified by magic or Applied Phlebotinum, but even when it's not, this trope usually appears in fantastic or futuristic settings. In Renaissance art depicting Classical Mythology, the gods would likely wear nothing but their floating capes and sashes to showcase their divinity, yet also showcasing a bit of modesty.