Equivariant analytic torsion on \(\mathbb{P}^ n\mathbb{C}\) (Q1318146)
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scientific article; zbMATH DE number 537330
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Equivariant analytic torsion on \(\mathbb{P}^ n\mathbb{C}\) |
scientific article; zbMATH DE number 537330 |
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Equivariant analytic torsion on \(\mathbb{P}^ n\mathbb{C}\) (English)
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12 April 1994
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The subject of the paper is to calculate an equivariant version of the complex Ray-Singer torsion for all bundles on the \(\mathbb{P}^ 1 \mathbb{C}\) and for the trivial line bundle on \(\mathbb{P}^ n \mathbb{C}\), for isometries which have isolated fixed points. The result can be expressed for all \(n\) by a special function, which is very similar to the series defining the Gillet-Soulé \(R\)-genus.
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equivariance
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complex Ray-Singer torsion
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