The Borel and genuine $C_2$-equivariant Adams spectral sequences

Authors: Sihao Ma

Major changes in the last section

Abstract: We find out some relations between the classical Adams spectral sequences for stunted real projective spectra, the Borel $C_2$-equivariant Adams spectral sequence for the 2-completed sphere, and the genuine $C_2$-equivariant Adams spectral sequence for the 2-completed sphere. This allows us to understand the genuine $C_2$-equivariant Adams spectral sequence from the Borel Adams spectral sequences. We show that the Borel Adams spectral sequence is computable as a classical Adams spectral sequence.

Submitted to arXiv on 26 Aug. 2022

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