The algebraic Atiyah-Hirzebruch spectral sequence of real projective spectra

2016/01/10 by Wang, Guozhen, Xu, Zhouli
#Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1601.02185

Abstract

In this note, we use Curtis's algorithm and the Lambda algebra to compute the algebraic Atiyah-Hirzebruch spectral sequence of the suspension spectrum of ℝP^∞ with the aid of a computer, which gives us its Adams E₂-page in the range of t<72. We also compute the transfer map on the Adams E₂-pages. These data are used in our computations of the stable homotopy groups of ℝP^∞ in [6] and of the stable homotopy groups of spheres in [7].

Related

• The Adams-Novikov Spectral Sequence and the Homotopy Groups of Spheres
• An extension in the Adams spectral sequence in dimension 54
• Algebraic EHP sequences
• Classical stable homotopy groups of spheres via \mathbbF₂-synthetic methods
• Stable comodule deformations and the synthetic Adams-Novikov spectral sequence