A non-trivial ghost kernel for the equivariant stable cohomotopy of projective spaces

TL;DR

This paper demonstrates that the ghost kernel in specific equivariant stable cohomotopy groups of projective spaces is non-trivial, using spectral sequence techniques and Steenrod algebra calculations.

Contribution

It introduces a non-trivial ghost kernel in equivariant stable cohomotopy of projective spaces and employs Borel cohomology Adams spectral sequence for the proof.

Findings

Ghost kernel for certain equivariant stable cohomotopy groups is non-trivial

Uses Borel cohomology Adams spectral sequence for calculations

Employs Steenrod algebra computations in the proof

Abstract

It is shown that the ghost kernel for certain equivariant stable cohomotopy groups of projective spaces is non-trivial. The proof is based on the Borel cohomology Adams spectral sequence and the calculations with the Steenrod algebra afforded by it.