Rings of power operations for Morava E-theories are Koszul
Charles Rezk
TL;DR
This paper proves that the ring of power operations associated with any Morava E-theory possesses the Koszul property, revealing a fundamental algebraic structure.
Contribution
It establishes that the ring of power operations for Morava E-theories is Koszul, a property not previously known in this context.
Findings
The ring of power operations for Morava E-theories is Koszul.
Provides new insights into the algebraic structure of Morava E-theories.
Enhances understanding of power operations in stable homotopy theory.
Abstract
We show that the ring of power operations for any Morava E-theory is Koszul.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Advanced Topics in Algebra