Manifolds with involution whose fixed point set has variable codimension
type: Item
instance of: scholarly article
title: Manifolds with involution whose fixed point set has variable codimension
zbMATH Open document ID: 0856.57032
DOI: 10.1016/0166-8641(95)00088-7
author: Zhi Lü
author: Xibo Liu
published in: Topology and its Applications
publication date: 1997-02-24T00:00:00Z
review text: This paper studies the set of unoriented cobordism classes represented by manifolds having an involution for which the fixed set has components of codimensions \(1 < k_1 < k_2 < \cdots < k_r\), for a fixed sequence of \(k\) values. The results have the form that the set of such classes is the same as the set of classes with a single codimension, \(k_1\). The hypotheses vary, but have the form that the \(k_i\) are all the same modulo some power of 2 and that \(k_2\) is large with respect to \(k_1\). This provides an interesting extension of the body of work on involutions with fixed set of constant codimension.
Mathematics Subject Classification ID: 57R85
zbMATH DE Number: 896604
zbMATH Keywords: unoriented cobordism classes
zbMATH Keywords: manifolds
zbMATH Keywords: involution
zbMATH Keywords: fixed set
MaRDI profile type: Publication
full work available at URL: 0166-8641(95)00088-7
OpenAlex ID: W2089983314
cites work: Differentiable periodic maps. 2nd ed
cites work: Involutions and characteristic numbers
cites work: Manifolds with constant codimensional involution
cites work: Cobordism classes represented by fiberings with fiber \(\mathbb{R} P(2k+1)\)
cites work: Involutions with Fixed Point Set of Constant Codimension
cites work: Manifolds with Involution Whose Fixed Set has Codimension Four
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description: scientific article; zbMATH DE number 896604