Definitions and examples of algeebraic Morava K-theories
Nobuaki Yagita
TL;DR
This paper compares different definitions of algebraic Morava K-theories, highlighting their relationships and differences, to clarify their conceptual foundations in algebraic geometry.
Contribution
It provides a detailed comparison between the quotient-based and cohomology-based definitions of algebraic Morava K-theories.
Findings
The two definitions are compatible under certain conditions.
The paper clarifies the conceptual relationship between the theories.
It offers insights into the structural properties of algebraic Morava K-theories.
Abstract
Algebraic Morava K-theories are defined by Sechin,Vishik and others as quotients of algebraic cobordisms. On the other hand, the author had defined them as some (two degrees) cohomology theories. In this paper, we compare these theories.
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Taxonomy
TopicsAdvanced Topics in Algebra · Nonlinear Waves and Solitons · Homotopy and Cohomology in Algebraic Topology