Work

The duality resolution at $$n=p=2$$

Year: 2025

Type: article

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 $$\mathbb {G}_2^1$$ G 2 1 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 $$\mathbb {S}_2^1$$ S 2 1 constructed in work of Goerss–Henn–Mahowald–Rezk, Beaudry and Bobkova–Goerss.

Source: Mathematische Zeitschrift

DOI: 10.1007/s00209-025-03754-2

Authors: Agnès Beaudry, Irina Bobkova, Hans-Werner Henn

Institutions: University of Colorado Boulder, Texas A&M University, Centre National de la Recherche Scientifique, Institut de Recherche Mathématique Avancée, Université de Strasbourg

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funder: National Science Foundation