The contact boundary of a complex polynomial
type: Item
instance of: scholarly article
title: The contact boundary of a complex polynomial
zbMATH Open document ID: 1032.32017
author: Clément Caubel
author: Mihai-Marius Tibar
published in: Manuscripta Mathematica
publication date: 2003-08-17T00:00:00Z
review text: The authors define the contact boundary of a complex polynomial \(f\colon {\mathbb C}^n\to{\mathbb C}\) as the intersection of some generic fiber with a large sphere and show that, up to contact isotopy, this is independent on the choice of generic fiber. Moreover, it is shown to be invariant under polynomial automorphisms of \({\mathbb C}^n\). It is also shown that the formal homotopy class of the contact structure on the contact boundary does not change under a large class of deformations of the polynomial \(f\), which are not necessarily topologically trivial.
reviewed by: Tobias Ekholm
Mathematics Subject Classification ID: 32S55
Mathematics Subject Classification ID: 53D15
Mathematics Subject Classification ID: 32S50
zbMATH DE Number: 1965484
MaRDI profile type: Publication
full work available at URL: s00229-003-0366-4
OpenAlex ID: W1966105604
DOI: 10.1007/S00229-003-0366-4
description: scientific article; zbMATH DE number 1965484