The \(\eta\)-invariant of twisted Dirac operators of \(S^3/\Gamma\) (Q5933879)
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scientific article; zbMATH DE number 1604964
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The \(\eta\)-invariant of twisted Dirac operators of \(S^3/\Gamma\) |
scientific article; zbMATH DE number 1604964 |
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The \(\eta\)-invariant of twisted Dirac operators of \(S^3/\Gamma\) (English)
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27 May 2002
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The author computes explicitly \(\eta\)-invariants and \(\widetilde{\zeta}\)-invariants of twisted Dirac operators on quotients \(S^3/\Gamma\), where \(\Gamma\) denotes a finite subgroup of \(S^3\). He considers Dirac operators twisted by unitary representations of \(\Gamma\). Using methods of harmonic analysis due to Wallach, the invariants are computed in terms of representation-theoretical data.
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Dirac operators
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\(\eta\)-invariants
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