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The (mu)over-bar-invariant of Seifert fibered homology spheres and the Dirac operator
Journal article   Peer reviewed

The (mu)over-bar-invariant of Seifert fibered homology spheres and the Dirac operator

Daniel Ruberman and Nikolai Saveliev
Geometriae dedicata, Vol.154(1), pp.93-101
10/01/2011
DOI: https://doi.org/10.1007/s10711-010-9569-5

Abstract

Science & Technology Mathematics Physical Sciences
We derive a formula for the (mu) over bar -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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