Reflections on Quillen's algebraic \(K\)-theory
type: Item
instance of: scholarly article
zbMATH Open document ID: 1310.19001
published in: The Quarterly Journal of Mathematics
publication date: 2013-10-10T00:00:00Z
Mathematics Subject Classification ID: 19D55
Mathematics Subject Classification ID: 19D06
Mathematics Subject Classification ID: 18F25
zbMATH DE Number: 6214603
zbMATH Keywords: algebraic \(K\)-theory
zbMATH Keywords: cyclic homology
zbMATH Keywords: Bott periodicity
author: Graeme Segal
MaRDI profile type: Publication
full work available at URL: hat026
OpenAlex ID: W2141397411
DOI: 10.1093/QMATH/HAT026
title: Reflections on Quillen's algebraic \(K\)-theory
review text: From the abstract: This is an expanded version of a talk given at the memorial meeting for Dan Quillen at M.I.T. in October 2012. It is an essay giving an impressionistic account of his work on algebraic \(K\)-theory and cyclic homology, organized around the notion of Bott periodicity. Following Quillen, the author relates this to Connes's periodicity operator in cyclic homology, and to speculate about its relation to the periodicity in the surgery theory of manifolds, though that is further from Quillen's work.''
description: scientific article; zbMATH DE number 6214603