Rings of power operations for Morava E-theories are Koszul

Abstract

We show that the ring of power operations for any Morava E-theory is Koszul.

arXiv commentSignificant revision; the argument is simplified by using a result of Arone-Dwyer-Lesh on the Bredon homology of partition complexes. Also includes many improvements to the exposition. (36 pages)

References in corpus (4)

• Power operations for Morava E-theory of height 2 at the prime 2
• Bredon Homology of Partition Complexes
• Modular Isogeny Complexes
• The congruence criterion for power operations in Morava E-theory

Cited by in corpus (10)

• Completed power operations for Morava E-theory
• Global Mackey functors with operations and n-special lambda rings
• Modular Isogeny Complexes
• Brown-Peterson cohomology from Morava E-theory
• Morava E-homology of Bousfield-Kuhn functors on odd-dimensional spheres
• Semistable models for modular curves and power operations for Morava E-theories of height 2
• The monochromatic Hopf invariant
• On the Morava $E$-theory of wreath products of symmetric groups
• The Lubin-Tate Theory of Configuration Spaces: I
• Power operations in $K$-theory completed at a prime