
to PC,
I am sorry that you're feeling homesick, missing NY, and your partner is unwilling to move back. I think that the ultimate decision (whether or not you decide to end it & move back) depends on a few things. Do you have money to rely on, a place to stay until a permanent home is found, as well as decent job prospects if (and when) you do return? Have you mentioned these things to your S.O., and gotten him to explain why he is so against moving back to NY?
Perhaps discussing this subject in a more detailed manner will help you both accept the other's perspective. Perhaps one of you will change your mind about where you stand, or maybe you'll decide it's best to go separate ways. No matter what the results are, you will have more information to help you make a decision that you feel comfortable with.
Best wishes to you!