akuperma: If he has no chiyuv Get then the beis din has no halachic basis to make him pay her any monies. Of course he has his obligation as a husband to support his wife. And he can fulfill that obligation by letting her know that he filled the fridge with food, the closet with clothes for her, heated the home for her comfort and even bought her a nice bracelet for yom tov (which he put in her jewelry box on their bedroom dresser). And she’s immediately welcome to come home for all of it. He’s thus fully fulfilling his obligation to support her and he cannot be forced to send cash in lieu of that support.
