Year: 2026
Type: preprint
Abstract: We compute the $2$-completed integral motivic homology, effective algebraic $K$-theory, and very effective Hermitian $K$-theory of the geometric classifying spaces $Bμ_{2^n}$, $n\geq 2$, over algebraically closed and real closed fields. We first carry out the corresponding classical calculations and, then obtain the motivic results using motivic spectral sequences and comparison techniques. The results reveal the classical $2$-torsion together with motivic $τ$-periodicity and $ρ$-torsion.
Source: arXiv (Cornell University)
Author: Dhankhar, Prerna
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223130133