Putter head swinging, or arms pushing back and forth?
 

So, in the arc stroke, do you grip lightly and allow the putter head to swing, really feeling the head moving back then forth, OR, do your shoulder dominiate the stroke, basically negating some of the "free swinging" of the putter head?

Also, closely related to that question is, does the grip end move very little, continuing to "point" toward the same area of the belly it started from, or, do you move the whole grip/shaft/putter head back then through?