Establishes gluing formula for recollements in infinity-categories and proves equivalence between P-stratified infinity-topoi and toposic locally cocartesian fibrations over P^op.
A naive approach to genuine $G$-spectra and cyclotomic spectra
2 Pith papers cite this work. Polarity classification is still indexing.
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abstract
For any compact Lie group $G$, we give a description of genuine $G$-spectra in terms of the naive equivariant spectra underlying their geometric fixedpoints. We use this to give an analogous description of cyclotomic spectra in terms of naive $T$-spectra (where $T$ denotes the circle group), generalizing Nikolaus--Scholze's recent work in the eventually-connective case. We also give an explicit formula for the homotopy invariants of the cyclotomic structure on a cyclotomic spectrum in these terms.
fields
math.AT 2verdicts
UNVERDICTED 2representative citing papers
An expository introduction to cyclotomic spectra and their role in topological cyclic homology and the disproof of the TC conjecture for chromatic heights greater than 1.
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What are cyclotomic spectra and why do we need them?
An expository introduction to cyclotomic spectra and their role in topological cyclic homology and the disproof of the TC conjecture for chromatic heights greater than 1.