Equivariant analytic torsion on \(\mathbb{P}^ n\mathbb{C}\)
type: Item
instance of: scholarly article
title: Equivariant analytic torsion on \(\mathbb{P}^ n\mathbb{C}\)
zbMATH Open document ID: 0788.58057
DOI: 10.1007/BF01459516
author: Kai Köhler
published in: Mathematische Annalen
publication date: 1994-04-12T00:00:00Z
full work available at URL: https://eudml.org/doc/165146
review text: 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.
Mathematics Subject Classification ID: 58J52
Mathematics Subject Classification ID: 14J20
Mathematics Subject Classification ID: 53C30
zbMATH DE Number: 537330
zbMATH Keywords: equivariance
zbMATH Keywords: complex Ray-Singer torsion
MaRDI profile type: Publication
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OpenAlex ID: W2315062398
description: scientific article; zbMATH DE number 537330