Complex cobordism theory for number theorists

1988 ◽  
pp. 123-133
Author(s):  
Douglas C. Ravenel
Keyword(s):  
Complex Cobordism ◽  
Cobordism Theory

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

2013 ◽  
Vol 11 (3) ◽  
pp. 493-506
Author(s):  
Douglas C. Ravenel
Keyword(s):  
Algebraic Topology ◽  
Formal Group ◽  
Home Page ◽  
Complex Cobordism ◽  
Cobordism Theory ◽  
Formal Group Laws

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.

On formal group laws over the quotients of Lazard’s ring

2019 ◽  
Vol 26 (2) ◽  
pp. 159-164
Author(s):  
Malkhaz Bakuradze ◽  
Vladimir Vershinin
Keyword(s):  
Power Series ◽  
Formal Power Series ◽  
Formal Group ◽  
Complex Cobordism ◽  
Cobordism Theory ◽  
Formal Group Laws ◽  
Formal Power ◽  
Quotient Rings ◽  
Coefficient Ring

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} .

Algebraic aspects of the theory of multiplications in complex cobordism theory

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

scholarly journals The Hopf ring for complex cobordism

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

Bioperads and hopf bialgebras in cobordism theory

1999 ◽  
Vol 65 (2) ◽  
pp. 221-229 ◽  
Author(s):  
V. A. Smirnov
Keyword(s):  
Cobordism Theory
Sign in / Sign up

Export Citation Format

Share Document