Equivariant Stiefel-Whitney classes
type: Item
instance of: scholarly article
title: Equivariant Stiefel-Whitney classes
zbMATH Open document ID: 0861.55022
DOI: 10.1016/0022-4049(94)90058-2
published in: Journal of Pure and Applied Algebra
publication date: 1995-02-28T00:00:00Z
review text: This paper gives a number of results on equivariant Stiefel-Whitney classes for equivariant orthogonal vector bundles over schemes. If \(G\) is finite and acts trivially on the base \(X\), then \(H^i(X_{et},G;\mathbb{Z}/2)=\sum_{j+k=i}H^j(X_{et};\mathbb{Z}/2)\otimes H^k(G,\mathbb{Z}/2)\) so we may decompose the \(i\)th Stiefel-Whitney class into the sum of \(w_{j,k}\in H^j(X_{et};\mathbb{Z}/2)\otimes H^k(G,\mathbb{Z}/2)\). This paper investigates \(w_{1,1}\), calculates \(w_{j,k}\) for an illuminating example, and investigates Stiefel-Whitney classes of trace forms.
Mathematics Subject Classification ID: 55R91
Mathematics Subject Classification ID: 14F20
zbMATH DE Number: 727072
zbMATH Keywords: equivariant Stiefel-Whitney classes
zbMATH Keywords: equivariant orthogonal vector bundles
zbMATH Keywords: schemes
author: Bruno Kahn
reviewed by: Henry C. King
MaRDI profile type: Publication
full work available at URL: 0022-4049(94)90058-2
OpenAlex ID: W2072195149
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description: scientific article; zbMATH DE number 727072