Welcome to Just Answer. I am here to help you resolve your tax and finance concerns. Please feel free to ask anytime you need extra help.
Government agencies can seize tax refunds to pay obligations to them. I assume you filed a joint return, otherwise the obligation will not be connected to you. You can file for innocent spouse relief. If you do this and it is granted (key word is if) the state will recalculate your return apportioning the tax due from you and due from your spouse on a percentage basis. The portion applicable to you, when subtracted from you tax payments into the system and tax credits allowable for you, will be your refund.
If you need additional assistance, please feel free to ask.