Cutting and pasting of manifolds into \(G\)-manifolds
type: Item
instance of: scholarly article
title: Cutting and pasting of manifolds into \(G\)-manifolds
zbMATH Open document ID: 1052.57048
author: Katsuhiro Komiya
published in: Kodai Mathematical Journal
publication date: 2004-06-18T00:00:00Z
review text: Let \(G\) be a finite Abelian group of odd order. If \(M\) is a manifold with \(G\)-action, one has submanifolds \(M^H\) of \(M\) given by the fixed sets of subgroups \(H\) of \(G\). Being given \(M\) and a collection of submanifolds \(M^H\) of \(M\), the author shows that \(M\) with its submanifolds is cut and paste equivalent to a \(G\)-action provided the Euler characteristics \(\chi(M^H)\) satisfy the congruences which hold for fixed sets of an action.
Mathematics Subject Classification ID: 57R65
Mathematics Subject Classification ID: 57S17
Mathematics Subject Classification ID: 57R91
zbMATH DE Number: 2076060
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2996/kmj/1061901064
OpenAlex ID: W2063437855
DOI: 10.2996/KMJ/1061901064
description: scientific article; zbMATH DE number 2076060