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Adams operations and lambda-operations on classifying oriented cohomology theories

机译:Adams运算和lambda运算对定向同调理论的分类

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摘要

Adams operations on algebraic cobordism with rational coefficients are defined and shown to descend to the oriented cohomology theories with rational coefficients which are universal with respect to their group law. With the induced structure of special lambda-ring we show that we can regard the gamma-filtration on CHQ* as a deformation of the classical gamma-filtration on K-Q(0). (C) 2008 Elsevier B.V. All rights reserved.
机译:定义了亚当斯对有理系数的代数cobordism的运算,并证明其落入了有理系数的定向同调理论,这对它们的群律是普遍的。通过特殊λ环的诱导结构,我们表明我们可以将CHQ *上的伽马滤过视为K-Q(0)上经典伽马滤过的变形。 (C)2008 Elsevier B.V.保留所有权利。

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