No, it does not. The state of an unmarried couple's relationship has NO effect whatsoever on property ownership If you move out and stop paying expenses (e.g. taxes, mortgage, etc.) while he continues to do so, then it is likely that if and when the home is sold, he would be given a larger share of the equity or proceeds to compensate him for having borne those costs, but apart from that, your and his rights to the home and its equity/value will not change. Being on the deed, you are an owner; breaking up or moving out does not affect that.
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