Work

Morava J-invariant

Year: 2025

Type: article

Abstract: We compute the co-multiplication of the algebraic Morava K-theory for split orthogonal groups. This allows us to compute the decomposition of the Morava motives of generic maximal orthogonal Grassmannians and to compute a Morava K-theory analogue of the J-invariant in terms of the ordinary (Chow) J-invariant.

Source: Forum of Mathematics Sigma

DOI: 10.1017/fms.2025.10041

Authors: Nikita Geldhauser, Andrei Lavrenov, Victor Petrov, Pavel Sechin

Institutions: Ludwig-Maximilians-Universität München, St Petersburg University, St. Petersburg Department of Steklov Institute of Mathematics, University of Regensburg

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,650