The additivity of the \(\eta\)-invariant. The case of a singular tangential operator
type: Item
instance of: scholarly article
title: The additivity of the \(\eta\)-invariant. The case of a singular tangential operator
zbMATH Open document ID: 0837.58030
DOI: 10.1007/BF02099475
published in: Communications in Mathematical Physics
publication date: 1995-07-26T00:00:00Z
review text: Let \(M\) be a compact odd-dimensional Riemannian manifold without boundary, which is a sum of two submanifolds with common boundary. Let \(A: C^\infty(S)\to C^\infty(S)\) denote a Dirac operator acting on sections of a bundle of a Clifford module \(S\) over \(M\), \(\eta(A; s)\) denote the eta functions of \(A\), and \(\eta_A= \eta(A; 0)\) denotes the eta invariant of \(A\). The aim of this paper is to study the decomposition of \(\eta_A\) into the contributions coming from different parts of the manifold \(M\).
Mathematics Subject Classification ID: 58J20
Mathematics Subject Classification ID: 58J50
zbMATH DE Number: 778990
zbMATH Keywords: Dirac operator
zbMATH Keywords: eta invariant
author: Krzysztof P. Wojciechowski
reviewed by: V. M. Deundjak
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 778990