Reflections on Quillen's algebraic \(K\)-theory (Q2851196)
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scientific article; zbMATH DE number 6214603
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Reflections on Quillen's algebraic \(K\)-theory |
scientific article; zbMATH DE number 6214603 |
Statements
10 October 2013
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algebraic \(K\)-theory
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cyclic homology
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Bott periodicity
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Reflections on Quillen's algebraic \(K\)-theory (English)
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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.''
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