We derive a formula for the μ̄-invariant of a Seifert fibered homology sphere in terms of the η-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.
- Dirac operator
- Seiberg-Witten equations
- Seifert fibered homology sphere
ASJC Scopus subject areas
- Geometry and Topology