Abstract
With an explicit, algebraic indexing (2, 1)category, we develop an efficient homotopy theory of cyclonic objects: circleequivariant objects relative to the family of finite subgroups. We construct an ∞category of cyclotomic spectra as the homotopy fixed points of an action of the multiplicative monoid of the natural numbers on the category of cyclonic spectra. Finally, we elucidate and prove a conjecture of Kaledin on cyclotomic complexes.
Original language  English 

Publisher  ArXiv 
Number of pages  28 
Publication status  Submitted  5 Feb 2016 
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Clark Barwick
 School of Mathematics  Personal Chair of Pure Mathematics
Person: Academic: Research Active (Teaching)