The chiral determinant and the eta invariant
type: Item
instance of: scholarly article
title: The chiral determinant and the eta invariant
zbMATH Open document ID: 0617.58031
DOI: 10.1007/BF01208963
published in: Communications in Mathematical Physics
publication date: 1987-01-01T00:00:00Z
review text: For \(\{\partial_ y\}\), \(y\in {\mathbb{R}}\), a one parameter family of invertible Weyl operators of possibly nonzero index acting on spinors over an even dimensional compact manifold X, we express the phase of the chiral determinant det \(\partial^{\dag}_{-\infty}\partial_{\infty}\) in terms of the \(\eta\) invariant of a Dirac operator acting on spinors over \({\mathbb{R}}\times X\).
Mathematics Subject Classification ID: 58J20
Mathematics Subject Classification ID: 58J70
zbMATH DE Number: 4001047
zbMATH Keywords: invertible Weyl operators
zbMATH Keywords: \(\eta \) invariant of a Dirac operator
author: Stephen DellaPietra
author: Vincent Della Pietra
author: Luis Alvarez-Gaume
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01208963
OpenAlex ID: W1542364264
description: scientific article; zbMATH DE number 4001047