The quasi \(KO_*\)-types of weighted projective spaces
type: Item
instance of: scholarly article
title: The quasi \(KO_*\)-types of weighted projective spaces
zbMATH Open document ID: 0910.55002
author: Yasuzo Nishimura
author: Zen-ichi Yosimura
published in: Journal of Mathematics of Kyoto University
publication date: 1999-04-20T00:00:00Z
review text: Associated to a sequence of positive integers, \((q_0,\dots,q_n)\), there is a weighted projective space given by the quotient of \(\mathbb{C}^{n+1}-\underline 0\) by the \(\mathbb{C}^*\)-action, \(w(z_0,\dots,z_n)=(w^{q_0}z_0,\dots,w^{q_n}z_n)\). For each weighted projective space, \(X\), the authors give a construction (in terms of spheres and the cofibre of the Hopf map) of a space, \(Y\), such that \(KO\wedge X\) is homotopy equivalent to \(KO\wedge Y\) as a \(KO\)-module spectrum.
Mathematics Subject Classification ID: 55N15
Mathematics Subject Classification ID: 19L64
zbMATH DE Number: 1121750
zbMATH Keywords: weighted projective space
reviewed by: Victor P. Snaith
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1215/kjm/1250518334
OpenAlex ID: W1511147278
DOI: 10.1215/KJM/1250518334
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description: scientific article; zbMATH DE number 1121750