Towards the $p=3$ Kervaire Invariant Problem: The $E_2$-page for the homotopy fixed points spectral sequence computing $\pi_*({E_6}^{hC_9})$
Algebraic Topology
2025-07-15 v1
Abstract
Hill, Hopkins, and Ravenel suggest that the last remaining Kervaire invariant problem, the case of , can be solved by computing the homotopy fixed points spectral sequence for . We prove a detection theorem for this case and use a conjectural form of the -action on to compute the page of this spectral sequence away from homological degree zero.
Keywords
Cite
@article{arxiv.2507.10157,
title = {Towards the $p=3$ Kervaire Invariant Problem: The $E_2$-page for the homotopy fixed points spectral sequence computing $\pi_*({E_6}^{hC_9})$},
author = {Eva Belmont and Rin Ray},
journal= {arXiv preprint arXiv:2507.10157},
year = {2025}
}