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Quillen's work on formal group laws and complex cobordism theory

Published online by Cambridge University Press:  01 March 2013

Douglas C. Ravenel
Douglas C. Ravenel*
Affiliation:
Department of Mathematics, Rochester University, Rochester, NY, USAdoug@math.rochester.edu
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Abstract

In 1969 Quillen discovered a deep connection between complex cobordism and formal group laws which he announced in [Qui69]. Algebraic topology has never been the same since. We will describe the content of [Qui69] and then discuss its impact on the field. This paper is a writeup of a talk on the same topic given at the Quillen Conference at MIT in October 2012. Slides for that talk are available on the author's home page.

Keywords

Formal group lawcomplex cobordismchromatic filtrationelliptic cohomologytopological modular forms55N2255N3455S2555T1514L0557R77
Type
Research Article
Information
Journal of K-Theory , Volume 11 , Issue 3: The Legacy of Daniel Quillen , June 2013 , pp. 493 - 506
Copyright
Copyright © ISOPP 2013 

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