منابع مشابه
Equivariant Cohomological Chern Characters
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متن کاملEquivariance of generalized Chern characters
In this note some generalization of the Chern character is discussed from the chromatic point of view. We construct a multiplicative Gn+1-equivariant natural transformation Θ from some height n + 1 cohomology theory E∗(−) to the height n cohomology theory K∗(−)b ⊗FL, where K∗(−) is essentially the nth Morava K-theory. As a corollary, it is shown that the Gn-module K ∗(X) can be recovered from t...
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1 Introduction: The aim of this note is to point out that Chern characters can be computed using curvatures of " connections up to homotopy " , and to present an application to the vanishing theorem for Lie algebroids. Classically, Chern characters are computed with the help of a connection and its curvature. However, one often has to relax the notion of connection so that one gains more freedo...
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We report in this survey some new results concerning noncommutative Chern characters: construction and the cases when they are exactly computed. The major result indicates some clear relation of these noncommutative objects and their commutative counterparts. This survey can be considered as the second part of the previous survey [D1].
متن کاملRelative Chern Characters for Nilpotent Ideals
which is defined only when I is nilpotent and Q ⊂ A. Goodwillie showed that (1.2) is an isomorphism whenever it is defined, and that it coincides with (1.1) when I = 0. Using this and a 5-Lemma argument, he deduced that (1.1) is an isomorphism for any nilpotent I. The question of whether ch∗ and ch ′ ∗ agree for general nilpotent ideals I was left open in [4], and announced without proof in [7,...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1973
ISSN: 0019-2082
DOI: 10.1215/ijm/1256051763