Yes, you are actually not eligible for unemployment if you voluntarily quit or resign your job, even if you resign for what are very good reasons--like to follow your girlfriend. There are a few states, I believe, that allow you to quit and receive unemployment to follow someone to whom you were married at the time, but none give you the right to quit and get unemployment for following an unmarried significant other. It appears that not only may your benefits be cut off, but you could be made to repay benefits.