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 Plus annual

Presents the access of premium content as premium feature

Premium Content

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 annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Let G be a compact Lie group. We build a tower of G-spectra over thesuspension spectrum of the space of linear isometries from one G-representationto another. The stable cofibres of the maps running down the tower are certaininteresting Thom spaces. We conjecture that this tower provides an equivariantextension of Miller's stable splitting of Stiefel manifolds. We provide acohomological obstruction to the tower producing a splitting in most cases;however, this obstruction does not rule out a split tower in the case where theMiller splitting is possible. We claim that in this case we have a split towerwhich would then produce an equivariant version of the Miller splitting, weprove this claim in certain special cases though the general case remains aconjecture. To achieve these results we construct a variation of the functionalcalculus with useful homotopy-theoretic properties and explore the geometriclinks between certain equivariant Gysin maps and residue theory.

An equivariant generalization of the Miller splitting theorem