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We study the effect of mutation on link concordance and 3-manifolds. We showthat the set of links concordant to sublinks of homology boundary links is notclosed under positive mutation. We show that mutation does not preservehomology cobordism classes of 3-manifolds. A significant consequence is thatthere exist 3-manifolds which have the same quantum SU(2)-invariants but arenot homology cobordant. These results are obtained by investigating the effectof mutation on the Milnor invariants, or equivalently the Massey products.

THE EFFECT OF MUTATION ON LINK CONCORDANCE, 3-MANIFOLDS, AND THE MILNOR INVARIANTS