Complex cobordism theory for number theorists

Author(s):  
Douglas C. Ravenel
Author(s):  
Douglas C. Ravenel

AbstractIn 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.


2019 ◽  
Vol 26 (2) ◽  
pp. 159-164
Author(s):  
Malkhaz Bakuradze ◽  
Vladimir Vershinin

Abstract We present a formal power series {\sum A_{ij}x^{i}y^{j}} over the Lazard ring Λ and the formal group laws {F_{n}} , {n\geq 2} , over the quotient rings of Λ. For each {F_{n}} , we construct a complex cobordism theory with singularities with the coefficient ring {\mathbb{Q}[p_{1},\dots,p_{2n}]} , with parameters {p_{i}} , {|p_{i}|=2i} .


2000 ◽  
Vol 55 (4) ◽  
pp. 613-633 ◽  
Author(s):  
B I Botvinnik ◽  
Viktor M Buchstaber ◽  
S P Novikov ◽  
S A Yuzvinsky

1977 ◽  
Vol 9 (2-3) ◽  
pp. 241-280 ◽  
Author(s):  
Douglas C. Ravenel ◽  
W.Stephen Wilson
Keyword(s):  

1999 ◽  
Vol 65 (2) ◽  
pp. 221-229 ◽  
Author(s):  
V. A. Smirnov
Keyword(s):  

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