The homotopy fixed points of Real spin bordism
Abstract
We show that the 2-local splitting of spinc bordism by Anderson--Brown--Peterson and Stong refines to a C2-equivariant map in the category of spectra with C2-action from Real spin bordism to a sum of (higher) connective covers of kuR and suspensions of mod 2 Eilenberg--Mac Lane spectra. We use this to deduce a corresponding 2-local splitting of the homotopy fixed points of Real spin bordism. We also discuss prospects that arise in the genuine setting.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.