2009/04/10 by Takeshi Torii, Torii, Takeshi
Mathematics · #55N22 #55P43 #55S05 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AT #msc:55N22 #msc:55P43 #msc:55S05
paper · pdf · doi:10.48550/arxiv.0904.1647
15 pages
arxiv created 2009/04/10 · openalex publication_date 2009/04/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 Θfrom some height (n+1) cohomology theory E^*(-) to the height n cohomology theory K^*(-)⊗F L, where K^*(-) is essentially the n-th Morava K-theory. As a corollary, it is shown that the Gn-module K^*(X) can be recovered from the Gn+1-module E^*(X). We also construct a lift of Θto a natural transformation between characteristic zero cohomology theories.