Transchromatic generalized character maps

Algebraic Topology;Stable Homotopy Theory;Generalized Cohomology Theory;p-Divisible Group;Barsotti-Tate Group;Morava E-theory

Stapleton, Nathaniel J.

关键词: Algebraic Topology;    Stable Homotopy Theory;    Generalized Cohomology Theory;    p-Divisible Group;    Barsotti-Tate Group;    Morava E-theory;   

Others  :  https://www.ideals.illinois.edu/bitstream/handle/2142/26269/Stapleton_Nathaniel.pdf?sequence=1&isAllowed=y

美国|英语

来源: The Illinois Digital Environment for Access to Learning and Scholarship

【 摘 要 】

In "Generalized Group Characters and Complex Oriented Cohomology Theories", Hopkins, Kuhn, and Ravenel discovered a generalized character theory that proved useful in studying cohomology rings of the form E^*(BG). In this paper we use the geometry of p-divisible groups to describe a sequence of "intermediate" character theories that retain more information about the cohomology theory E and yield the related result of Hopkins, Kuhn, and Ravenel as a special case.