Adams spectral sequences and Franke's algebraicity conjecture

Irakli Patchkoria* (Corresponding Author), Piotr Pstragwoski

*Corresponding author for this work

Research output: Book/ReportBook

Abstract

To any well-behaved homology theory we associate a derived 8-category which encodes its Adams spectral sequence. As applications, we prove a conjecture of Franke on algebraicity of certain homotopy categories and establish homotopy-coherent monoidality of the Adams filtration.
Original languageEnglish
PublisherAmerican Mathematical Society
Publication statusAccepted/In press - 9 May 2025

Publication series

NameMemoirs of the American Mathematical Society
PublisherAmerican Mathematical Society
ISSN (Print)0065-9266
ISSN (Electronic)1947–6221

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