The μ-invariant of Seifert fibered homology spheres and the Dirac operator
Abstract
We derive a formula for the μ-invariant of a Seifert fibered homology sphere in terms of the eta-invariant of its Dirac operator. As a consequence, we obtain a vanishing result for the index of certain Dirac operators on plumbed 4-manifolds bounding such spheres.
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