complex cobordism
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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} .


2016 ◽  
Vol 16 (3) ◽  
pp. 1473-1491 ◽  
Author(s):  
Andrew Wilfong
Keyword(s):  

2015 ◽  
Vol 194 ◽  
pp. 386-399 ◽  
Author(s):  
Soumen Sarkar
Keyword(s):  

2014 ◽  
Vol 57 (3) ◽  
pp. 699-711
Author(s):  
Imma Gálvez-Carrillo ◽  
Sarah Whitehouse

AbstractFor stable degree 0 operations, and also for additive unstable operations of bidegree (0, 0), it is known that the centre of the ring of operations for complex cobordism is isomorphic to the corresponding ring of connective complex K-theory operations. Similarly, the centre of the ring of BP operations is the corresponding ring for the Adams summand of p-local connective complex K-theory. Here we show that, in the additive unstable context, this result holds with BP replaced by BP〈n⌰ for any n. Thus, for all chromatic heights, the only central operations are those coming from K-theory.


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