The duality resolution at n=p=2

2025/02/05 by Agnès Beaudry, Beaudry, Agnès, Irina Bobkova +3
Physics and Astronomy · #55P42 #Algebraic Topology (math.AT) #FOS: Mathematics #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2502.03141

openalex publication_date 2025/02/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Working at the prime 2 and chromatic height 2, we construct a finite resolution of the homotopy fixed points of Morava E-theory with respect to the subgroup \mathbbG₂¹ of the Morava stabilizer group. This is an upgrade of the finite resolution of the homotopy fixed points of E-theory with respect to the subgroup \mathbbS₂¹ constructed in work of Goerss-Henn-Mahowald-Rezk, Beaudry and Bobkova-Goerss.

Related

• Cohomology of the Morava stabilizer group through the duality resolution at n=p=2
• RO(G)-graded homotopy fixed point spectral sequence for height 2 Morava E-theory
• A Mini-Course on Morava Stabilizer Groups and Their Cohomology
• The Tate spectrum of the higher real K-theories at height n=p-1
• The E₂^hC₆-homology of ℝP² and ℝP² \wedge ℂP²