FBX files exported from Maya are not compatible with Mudbox unless you specify an earlier FBX version in the FBX export options.
See also Compatibility across products using FBX.
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If you are exporting a mesh that has been used as the source in a texture map extraction (for example, if you used this model as the source to extract a displacement map), be aware that any extracted texture maps are automatically exported with your model.
This can result in unexpected deformation when you import the model into another application, as the texture maps are automatically assigned to the model on import. If you experience this issue, you can remove any unwanted texture map from the associated channel (such as the displacement or bump channel) after importing the model.