The eta invariant and the connective \(K\)-theory of the classifying space for cyclic 2 groups (Q1300262)
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scientific article; zbMATH DE number 1333264
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The eta invariant and the connective \(K\)-theory of the classifying space for cyclic 2 groups |
scientific article; zbMATH DE number 1333264 |
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The eta invariant and the connective \(K\)-theory of the classifying space for cyclic 2 groups (English)
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8 February 2000
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The author calculates the real connective \(K\)-theory groups \(ko_m(BZ_l)\) of the classifying space for the cyclic group \(Z_l\), where \(l=2^k\geq 2\). The main tools used for this calculation are the \(\widehat A\)-genus and the eta invariant -- a certain function depending on eigenvalues of the Dirac operator with coefficients in the flat vector bundle defined by a complex representation of \(Z_l\).
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\(\widehat A\)-genus
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connective \(K\)-theory
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eta invariant
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