The eta-invariant of variation structures. I
type: Item
instance of: scholarly article
title: The eta-invariant of variation structures. I
zbMATH Open document ID: 0846.32025
DOI: 10.1016/0166-8641(95)00021-6
author: András Némethi
published in: Topology and its Applications
publication date: 1996-09-23T00:00:00Z
review text: Let \(f_1 : (\mathbb{C}^{n + 1}, 0) \to (\mathbb{C}, 0)\) be an analytic map germ with one-dimensional singular locus. Choose a germ \(f_2\) such that \((f_1, f_2)\) defines an isolated complete intersection singularity. It is proved that for sufficiently large \(q\) the difference \(\sigma (f_1 + f^q_2 - \sigma (f_1)\), where \(\sigma (f)\) denotes the signature of the Milnor fibre of the germ \(f\), can be expressed in terms of so-called eta-invariants depending on the monodromy representation and the variation map.
reviewed by: Gerhard Pfister
Mathematics Subject Classification ID: 32S25
Mathematics Subject Classification ID: 32S55
zbMATH DE Number: 858585
zbMATH Keywords: signature of Milnor fibre
zbMATH Keywords: non-isolated singularities
zbMATH Keywords: monodromy
MaRDI profile type: Publication
full work available at URL: 0166-8641(95)00021-6
OpenAlex ID: W2012968255
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description: scientific article; zbMATH DE number 858585