No, your ex-husband would be responsible for repaying the credit once you are no longer on the deed. From the IRS:
Q. What are the exceptions where I may not have to repay the full credit?
A. The exceptions where you may not have to repay the full credit are:
- If you (transferor spouse) transfer your home as part of a divorce settlement, your former spouse (transferee spouse) who keeps the home is responsible for making the rest of the repayments and you are not responsible for making any remaining repayments.