English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We investigate the relationship between complex and symplectic cobordismlocalized away from the prime~$2$ and show that these theories are related muchas a real Lie group is related to its complexification. This suggests thatideas from the theory of symmetric spaces might be used to illuminate thesesubjects. In particular, we give an explicit equivalence of ring spectra \[MSp[1/2]\wedge Sp/U_+\simeq MU[1/2] \] and deduce that $MU[1/2]$ is a wedge ofcopies of $MSp[1/2]$. We discuss the implications for the structure of thestable operation algebra $MSp[1/2]^*MSp[1/2]$ and the dual cooperation algebra$MSp[1/2]_*MSp[1/2]$. Finally we describe some related Witt vector algebra andapply our results to the study of formal involutions on the category of formalgroup laws over a $\mathbb{Z}[1/2]$-algebra.

$MSp$ localized away from $2$ and odd formal group laws