English

Morava $J$-invariant

K-Theory and Homology 2024-09-24 v1

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 JJ-invariant in terms of the ordinary (Chow) JJ-invariant.

Keywords

Cite

@article{arxiv.2409.14099,
  title  = {Morava $J$-invariant},
  author = {Nikita Geldhauser and Andrei Lavrenov and Victor Petrov and Pavel Sechin},
  journal= {arXiv preprint arXiv:2409.14099},
  year   = {2024}
}
R2 v1 2026-06-28T18:52:18.300Z