On Wall manifolds with almost free \(\mathbf Z_{2^ k}\) actions
type: Item
instance of: scholarly article
title: On Wall manifolds with almost free \(\mathbf Z_{2^ k}\) actions
zbMATH Open document ID: 0785.57012
author: Tamio Hara
published in: Tokyo Journal of Mathematics
publication date: 1994-04-21T00:00:00Z
review text: This paper studies the equivariant bordism classification of almost free actions of the cyclic groups \(\mathbb{Z}/2^ k\mathbb{Z}\) on Wall manifolds. Here an action is almost free if the isotropy groups are all subgroups of the subgroup of order 2. A Wall manifold is a manifold for which the orientation is induced by a map into a circle. Wall manifolds are crucial in understanding oriented bordism and its relation to unoriented bordism, and the goal here is an analogous understanding of the equivariant bordism of oriented manifolds with an action of the cyclic group of order \(2^ k\).
Mathematics Subject Classification ID: 57R85
Mathematics Subject Classification ID: 55N22
zbMATH DE Number: 179104
zbMATH Keywords: equivariant bordism
zbMATH Keywords: almost free actions
zbMATH Keywords: cyclic groups
zbMATH Keywords: Wall manifolds
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3836/tjm/1270129471
OpenAlex ID: W2061729276
DOI: 10.3836/TJM/1270129471
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description: scientific article; zbMATH DE number 179104