Equivariant analytic torsion on \(\mathbb{P}^ n\mathbb{C}\)
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.
scientific article; zbMATH DE number 537330
scientific article