Manifolds with constant codimensional involution
type: Item
instance of: scholarly article
title: Manifolds with constant codimensional involution
zbMATH Open document ID: 0762.57021
author: Qingqi Yue
published in: Science in China. Series A
publication date: 1993-01-17T00:00:00Z
review text: This paper determines the set of cobordism classes realized by manifolds with involution \((M^ n,T)\) for which the fixed point set has constant codimension \(k\). The essential condition is that every Stiefel-Whitney number divisible by \(n-2k+1\) classes \(w_{2j+1}\) be zero. The paper itself is involved with constructing needed examples of involutions. The approach is based on previous work by Wu Zhende. \{Reviewer's remark: If correct, these results are very nice and go far beyond what was known. Unfortunately, the results depend on earlier papers and I have been unable to find and understand enough of the argument to adequately describe the classes satisfying the characteristic number conditions\}.
Mathematics Subject Classification ID: 57R85
zbMATH DE Number: 98078
zbMATH Keywords: cobordism classes realized by manifolds with involution
zbMATH Keywords: fixed point set
zbMATH Keywords: Stiefel-Whitney number
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 98078