Reciprocity applies to situations where you work in one state, but live in another. Since this is not the case in your situation, you will need to file a Wisconsin return at least as a Part Year Resident, depending on how long you lived there. The same goes for Michigan.
I am attaching a link to the Wisconsin Department of Revenue (Publication 122) as well as the definition of domicile for WI purposes which will give you further information on this issue:
https://www.revenue.wi.gov/Pages/Individuals/nonresidents.aspx
A legal resident of Wisconsin is a person who maintains his or her domicile in Wisconsin, whether or not s/he is physically present in Wisconsin or living outside of the state.
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